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Finding the Fourth Proportional to 6,165.54, 9,248.31 and 6,092.10

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Solution

The fourth proportional to 6,165.54, 9,248.31 and 6,092.10 is: 9,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.54 : 9,248.31 = 6,092.10 : x
  2. Step 2: Convert to fraction form
    6,165.54/9,248.31 = 6,092.10/x
  3. Step 3: Cross multiply
    6,165.54x = 9,248.31 × 6,092.10
  4. Step 4: Simplify right side
    6,165.54x = 56,341,629.35
  5. Step 5: Solve for x
    x = 56,341,629.35/6,165.54
  6. Step 6: Final answer
    x = 9,138.15

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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.