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Finding the Fourth Proportional to 9,782,406.90, 14,655,895.65 and 8,365,230.90

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Solution

The fourth proportional to 9,782,406.90, 14,655,895.65 and 8,365,230.90 is: 12,532,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,406.90 : 14,655,895.65 = 8,365,230.90 : x
  2. Step 2: Convert to fraction form
    9,782,406.90/14,655,895.65 = 8,365,230.90/x
  3. Step 3: Cross multiply
    9,782,406.90x = 14,655,895.65 × 8,365,230.90
  4. Step 4: Simplify right side
    9,782,406.90x = 122,599,951,158,555.59
  5. Step 5: Solve for x
    x = 122,599,951,158,555.59/9,782,406.90
  6. Step 6: Final answer
    x = 12,532,697.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.