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Finding the Fourth Proportional to 9,262.72, 13,894.17 and 2,337.22

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Solution

The fourth proportional to 9,262.72, 13,894.17 and 2,337.22 is: 3,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.72 : 13,894.17 = 2,337.22 : x
  2. Step 2: Convert to fraction form
    9,262.72/13,894.17 = 2,337.22/x
  3. Step 3: Cross multiply
    9,262.72x = 13,894.17 × 2,337.22
  4. Step 4: Simplify right side
    9,262.72x = 32,473,732.01
  5. Step 5: Solve for x
    x = 32,473,732.01/9,262.72
  6. Step 6: Final answer
    x = 3,505.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.