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Finding the Fourth Proportional to 6,465.97, 9,701.84 and 3,387.25

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Solution

The fourth proportional to 6,465.97, 9,701.84 and 3,387.25 is: 5,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.97 : 9,701.84 = 3,387.25 : x
  2. Step 2: Convert to fraction form
    6,465.97/9,701.84 = 3,387.25/x
  3. Step 3: Cross multiply
    6,465.97x = 9,701.84 × 3,387.25
  4. Step 4: Simplify right side
    6,465.97x = 32,862,540.60
  5. Step 5: Solve for x
    x = 32,862,540.60/6,465.97
  6. Step 6: Final answer
    x = 5,082.38

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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.