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Finding the Fourth Proportional to 6,339.71, 9,511.59 and 2,642.33

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Solution

The fourth proportional to 6,339.71, 9,511.59 and 2,642.33 is: 3,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.71 : 9,511.59 = 2,642.33 : x
  2. Step 2: Convert to fraction form
    6,339.71/9,511.59 = 2,642.33/x
  3. Step 3: Cross multiply
    6,339.71x = 9,511.59 × 2,642.33
  4. Step 4: Simplify right side
    6,339.71x = 25,132,793.29
  5. Step 5: Solve for x
    x = 25,132,793.29/6,339.71
  6. Step 6: Final answer
    x = 3,964.34

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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.