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Finding the Fourth Proportional to 9,217.83, 13,802.65 and 5,049.17

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Solution

The fourth proportional to 9,217.83, 13,802.65 and 5,049.17 is: 7,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.83 : 13,802.65 = 5,049.17 : x
  2. Step 2: Convert to fraction form
    9,217.83/13,802.65 = 5,049.17/x
  3. Step 3: Cross multiply
    9,217.83x = 13,802.65 × 5,049.17
  4. Step 4: Simplify right side
    9,217.83x = 69,691,926.30
  5. Step 5: Solve for x
    x = 69,691,926.30/9,217.83
  6. Step 6: Final answer
    x = 7,560.56

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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.