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Finding the Fourth Proportional to 9,215.62, 12,715.92 and 5,235.97

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Solution

The fourth proportional to 9,215.62, 12,715.92 and 5,235.97 is: 7,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.62 : 12,715.92 = 5,235.97 : x
  2. Step 2: Convert to fraction form
    9,215.62/12,715.92 = 5,235.97/x
  3. Step 3: Cross multiply
    9,215.62x = 12,715.92 × 5,235.97
  4. Step 4: Simplify right side
    9,215.62x = 66,580,154.02
  5. Step 5: Solve for x
    x = 66,580,154.02/9,215.62
  6. Step 6: Final answer
    x = 7,224.70

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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.