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Finding the Fourth Proportional to 9,227.40, 13,841.82 and 4,549.92

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Solution

The fourth proportional to 9,227.40, 13,841.82 and 4,549.92 is: 6,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.40 : 13,841.82 = 4,549.92 : x
  2. Step 2: Convert to fraction form
    9,227.40/13,841.82 = 4,549.92/x
  3. Step 3: Cross multiply
    9,227.40x = 13,841.82 × 4,549.92
  4. Step 4: Simplify right side
    9,227.40x = 62,979,173.65
  5. Step 5: Solve for x
    x = 62,979,173.65/9,227.40
  6. Step 6: Final answer
    x = 6,825.24

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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.