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Finding the Fourth Proportional to 9,498.73, 14,252.19 and 5,115.31

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Solution

The fourth proportional to 9,498.73, 14,252.19 and 5,115.31 is: 7,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.73 : 14,252.19 = 5,115.31 : x
  2. Step 2: Convert to fraction form
    9,498.73/14,252.19 = 5,115.31/x
  3. Step 3: Cross multiply
    9,498.73x = 14,252.19 × 5,115.31
  4. Step 4: Simplify right side
    9,498.73x = 72,904,370.03
  5. Step 5: Solve for x
    x = 72,904,370.03/9,498.73
  6. Step 6: Final answer
    x = 7,675.17

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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.