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Finding the Fourth Proportional to 9,224.42, 13,839.28 and 4,545.83

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Solution

The fourth proportional to 9,224.42, 13,839.28 and 4,545.83 is: 6,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.42 : 13,839.28 = 4,545.83 : x
  2. Step 2: Convert to fraction form
    9,224.42/13,839.28 = 4,545.83/x
  3. Step 3: Cross multiply
    9,224.42x = 13,839.28 × 4,545.83
  4. Step 4: Simplify right side
    9,224.42x = 62,910,985.54
  5. Step 5: Solve for x
    x = 62,910,985.54/9,224.42
  6. Step 6: Final answer
    x = 6,820.05

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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.