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Finding the Fourth Proportional to 9,225.31, 13,842.03 and 4,841.71

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Solution

The fourth proportional to 9,225.31, 13,842.03 and 4,841.71 is: 7,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.31 : 13,842.03 = 4,841.71 : x
  2. Step 2: Convert to fraction form
    9,225.31/13,842.03 = 4,841.71/x
  3. Step 3: Cross multiply
    9,225.31x = 13,842.03 × 4,841.71
  4. Step 4: Simplify right side
    9,225.31x = 67,019,095.07
  5. Step 5: Solve for x
    x = 67,019,095.07/9,225.31
  6. Step 6: Final answer
    x = 7,264.70

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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.