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Finding the Fourth Proportional to 9,457.62, 13,044.99 and 8,614.95

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Solution

The fourth proportional to 9,457.62, 13,044.99 and 8,614.95 is: 11,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.62 : 13,044.99 = 8,614.95 : x
  2. Step 2: Convert to fraction form
    9,457.62/13,044.99 = 8,614.95/x
  3. Step 3: Cross multiply
    9,457.62x = 13,044.99 × 8,614.95
  4. Step 4: Simplify right side
    9,457.62x = 112,381,936.60
  5. Step 5: Solve for x
    x = 112,381,936.60/9,457.62
  6. Step 6: Final answer
    x = 11,882.69

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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.