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Finding the Fourth Proportional to 6,488.31, 9,736.38 and 2,592.39

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Solution

The fourth proportional to 6,488.31, 9,736.38 and 2,592.39 is: 3,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.31 : 9,736.38 = 2,592.39 : x
  2. Step 2: Convert to fraction form
    6,488.31/9,736.38 = 2,592.39/x
  3. Step 3: Cross multiply
    6,488.31x = 9,736.38 × 2,592.39
  4. Step 4: Simplify right side
    6,488.31x = 25,240,494.15
  5. Step 5: Solve for x
    x = 25,240,494.15/6,488.31
  6. Step 6: Final answer
    x = 3,890.15

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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.