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Finding the Fourth Proportional to 9,264.17, 12,781.40 and 5,282.42

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Solution

The fourth proportional to 9,264.17, 12,781.40 and 5,282.42 is: 7,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.17 : 12,781.40 = 5,282.42 : x
  2. Step 2: Convert to fraction form
    9,264.17/12,781.40 = 5,282.42/x
  3. Step 3: Cross multiply
    9,264.17x = 12,781.40 × 5,282.42
  4. Step 4: Simplify right side
    9,264.17x = 67,516,632.67
  5. Step 5: Solve for x
    x = 67,516,632.67/9,264.17
  6. Step 6: Final answer
    x = 7,287.93

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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.