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Finding the Fourth Proportional to 6,437.47, 9,650.71 and 6,131.29

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Solution

The fourth proportional to 6,437.47, 9,650.71 and 6,131.29 is: 9,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.47 : 9,650.71 = 6,131.29 : x
  2. Step 2: Convert to fraction form
    6,437.47/9,650.71 = 6,131.29/x
  3. Step 3: Cross multiply
    6,437.47x = 9,650.71 × 6,131.29
  4. Step 4: Simplify right side
    6,437.47x = 59,171,301.72
  5. Step 5: Solve for x
    x = 59,171,301.72/6,437.47
  6. Step 6: Final answer
    x = 9,191.70

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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.