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Finding the Fourth Proportional to 6,465.44, 9,697.52 and 2,086.04

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Solution

The fourth proportional to 6,465.44, 9,697.52 and 2,086.04 is: 3,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.44 : 9,697.52 = 2,086.04 : x
  2. Step 2: Convert to fraction form
    6,465.44/9,697.52 = 2,086.04/x
  3. Step 3: Cross multiply
    6,465.44x = 9,697.52 × 2,086.04
  4. Step 4: Simplify right side
    6,465.44x = 20,229,414.62
  5. Step 5: Solve for x
    x = 20,229,414.62/6,465.44
  6. Step 6: Final answer
    x = 3,128.85

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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.