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Finding the Fourth Proportional to 9,700,912.80, 14,553,442.80 and 2,970,007.20

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Solution

The fourth proportional to 9,700,912.80, 14,553,442.80 and 2,970,007.20 is: 4,455,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,912.80 : 14,553,442.80 = 2,970,007.20 : x
  2. Step 2: Convert to fraction form
    9,700,912.80/14,553,442.80 = 2,970,007.20/x
  3. Step 3: Cross multiply
    9,700,912.80x = 14,553,442.80 × 2,970,007.20
  4. Step 4: Simplify right side
    9,700,912.80x = 43,223,829,900,788.16
  5. Step 5: Solve for x
    x = 43,223,829,900,788.16/9,700,912.80
  6. Step 6: Final answer
    x = 4,455,645.65

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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.