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Finding the Fourth Proportional to 6,459.38, 9,689.60 and 2,761.64

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Solution

The fourth proportional to 6,459.38, 9,689.60 and 2,761.64 is: 4,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.38 : 9,689.60 = 2,761.64 : x
  2. Step 2: Convert to fraction form
    6,459.38/9,689.60 = 2,761.64/x
  3. Step 3: Cross multiply
    6,459.38x = 9,689.60 × 2,761.64
  4. Step 4: Simplify right side
    6,459.38x = 26,759,181.74
  5. Step 5: Solve for x
    x = 26,759,181.74/6,459.38
  6. Step 6: Final answer
    x = 4,142.69

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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.