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Finding the Fourth Proportional to 6,789.36, 9,367.92 and 4,132.16

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Solution

The fourth proportional to 6,789.36, 9,367.92 and 4,132.16 is: 5,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.36 : 9,367.92 = 4,132.16 : x
  2. Step 2: Convert to fraction form
    6,789.36/9,367.92 = 4,132.16/x
  3. Step 3: Cross multiply
    6,789.36x = 9,367.92 × 4,132.16
  4. Step 4: Simplify right side
    6,789.36x = 38,709,744.31
  5. Step 5: Solve for x
    x = 38,709,744.31/6,789.36
  6. Step 6: Final answer
    x = 5,701.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.