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Finding the Fourth Proportional to 6,128.31, 9,197.17 and 4,349.24

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Solution

The fourth proportional to 6,128.31, 9,197.17 and 4,349.24 is: 6,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.31 : 9,197.17 = 4,349.24 : x
  2. Step 2: Convert to fraction form
    6,128.31/9,197.17 = 4,349.24/x
  3. Step 3: Cross multiply
    6,128.31x = 9,197.17 × 4,349.24
  4. Step 4: Simplify right side
    6,128.31x = 40,000,741.25
  5. Step 5: Solve for x
    x = 40,000,741.25/6,128.31
  6. Step 6: Final answer
    x = 6,527.21

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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.