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Finding the Fourth Proportional to 9,136.92, 12,597.47 and 7,456.62

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Solution

The fourth proportional to 9,136.92, 12,597.47 and 7,456.62 is: 10,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.92 : 12,597.47 = 7,456.62 : x
  2. Step 2: Convert to fraction form
    9,136.92/12,597.47 = 7,456.62/x
  3. Step 3: Cross multiply
    9,136.92x = 12,597.47 × 7,456.62
  4. Step 4: Simplify right side
    9,136.92x = 93,934,509.47
  5. Step 5: Solve for x
    x = 93,934,509.47/9,136.92
  6. Step 6: Final answer
    x = 10,280.76

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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.