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Finding the Fourth Proportional to 9,229.78, 12,737.10 and 5,695.04

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Solution

The fourth proportional to 9,229.78, 12,737.10 and 5,695.04 is: 7,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.78 : 12,737.10 = 5,695.04 : x
  2. Step 2: Convert to fraction form
    9,229.78/12,737.10 = 5,695.04/x
  3. Step 3: Cross multiply
    9,229.78x = 12,737.10 × 5,695.04
  4. Step 4: Simplify right side
    9,229.78x = 72,538,347.18
  5. Step 5: Solve for x
    x = 72,538,347.18/9,229.78
  6. Step 6: Final answer
    x = 7,859.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.