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Finding the Fourth Proportional to 9,151.47, 12,627.90 and 6,497.91

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Solution

The fourth proportional to 9,151.47, 12,627.90 and 6,497.91 is: 8,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.47 : 12,627.90 = 6,497.91 : x
  2. Step 2: Convert to fraction form
    9,151.47/12,627.90 = 6,497.91/x
  3. Step 3: Cross multiply
    9,151.47x = 12,627.90 × 6,497.91
  4. Step 4: Simplify right side
    9,151.47x = 82,054,957.69
  5. Step 5: Solve for x
    x = 82,054,957.69/9,151.47
  6. Step 6: Final answer
    x = 8,966.31

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