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Finding the Fourth Proportional to 9,782,425.40, 14,655,923.40 and 8,365,249.40

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Solution

The fourth proportional to 9,782,425.40, 14,655,923.40 and 8,365,249.40 is: 12,532,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,425.40 : 14,655,923.40 = 8,365,249.40 : x
  2. Step 2: Convert to fraction form
    9,782,425.40/14,655,923.40 = 8,365,249.40/x
  3. Step 3: Cross multiply
    9,782,425.40x = 14,655,923.40 × 8,365,249.40
  4. Step 4: Simplify right side
    9,782,425.40x = 122,600,454,428,295.97
  5. Step 5: Solve for x
    x = 122,600,454,428,295.97/9,782,425.40
  6. Step 6: Final answer
    x = 12,532,725.72

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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.