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Finding the Fourth Proportional to 9,458.38, 14,172.92 and 6,498.24

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Solution

The fourth proportional to 9,458.38, 14,172.92 and 6,498.24 is: 9,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.38 : 14,172.92 = 6,498.24 : x
  2. Step 2: Convert to fraction form
    9,458.38/14,172.92 = 6,498.24/x
  3. Step 3: Cross multiply
    9,458.38x = 14,172.92 × 6,498.24
  4. Step 4: Simplify right side
    9,458.38x = 92,099,035.66
  5. Step 5: Solve for x
    x = 92,099,035.66/9,458.38
  6. Step 6: Final answer
    x = 9,737.29

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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.