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Finding the Fourth Proportional to 6,932.64, 9,567.27 and 3,948.60

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Solution

The fourth proportional to 6,932.64, 9,567.27 and 3,948.60 is: 5,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.64 : 9,567.27 = 3,948.60 : x
  2. Step 2: Convert to fraction form
    6,932.64/9,567.27 = 3,948.60/x
  3. Step 3: Cross multiply
    6,932.64x = 9,567.27 × 3,948.60
  4. Step 4: Simplify right side
    6,932.64x = 37,777,322.32
  5. Step 5: Solve for x
    x = 37,777,322.32/6,932.64
  6. Step 6: Final answer
    x = 5,449.20

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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.