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Finding the Fourth Proportional to 6,509.48, 9,766.96 and 3,390.29

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Solution

The fourth proportional to 6,509.48, 9,766.96 and 3,390.29 is: 5,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.48 : 9,766.96 = 3,390.29 : x
  2. Step 2: Convert to fraction form
    6,509.48/9,766.96 = 3,390.29/x
  3. Step 3: Cross multiply
    6,509.48x = 9,766.96 × 3,390.29
  4. Step 4: Simplify right side
    6,509.48x = 33,112,826.82
  5. Step 5: Solve for x
    x = 33,112,826.82/6,509.48
  6. Step 6: Final answer
    x = 5,086.86

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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.