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Finding the Fourth Proportional to 9,658,865.80, 14,490,048.30 and 4,854,464.20

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Solution

The fourth proportional to 9,658,865.80, 14,490,048.30 and 4,854,464.20 is: 7,282,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658,865.80 : 14,490,048.30 = 4,854,464.20 : x
  2. Step 2: Convert to fraction form
    9,658,865.80/14,490,048.30 = 4,854,464.20/x
  3. Step 3: Cross multiply
    9,658,865.80x = 14,490,048.30 × 4,854,464.20
  4. Step 4: Simplify right side
    9,658,865.80x = 70,341,420,728,620.87
  5. Step 5: Solve for x
    x = 70,341,420,728,620.87/9,658,865.80
  6. Step 6: Final answer
    x = 7,282,575.63

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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.