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Finding the Fourth Proportional to 9,588.31, 14,385.92 and 3,349.24

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Solution

The fourth proportional to 9,588.31, 14,385.92 and 3,349.24 is: 5,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.31 : 14,385.92 = 3,349.24 : x
  2. Step 2: Convert to fraction form
    9,588.31/14,385.92 = 3,349.24/x
  3. Step 3: Cross multiply
    9,588.31x = 14,385.92 × 3,349.24
  4. Step 4: Simplify right side
    9,588.31x = 48,181,845.99
  5. Step 5: Solve for x
    x = 48,181,845.99/9,588.31
  6. Step 6: Final answer
    x = 5,025.06

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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.