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Finding the Fourth Proportional to 6,459.52, 9,689.28 and 1,842.56

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Solution

The fourth proportional to 6,459.52, 9,689.28 and 1,842.56 is: 2,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.52 : 9,689.28 = 1,842.56 : x
  2. Step 2: Convert to fraction form
    6,459.52/9,689.28 = 1,842.56/x
  3. Step 3: Cross multiply
    6,459.52x = 9,689.28 × 1,842.56
  4. Step 4: Simplify right side
    6,459.52x = 17,853,079.76
  5. Step 5: Solve for x
    x = 17,853,079.76/6,459.52
  6. Step 6: Final answer
    x = 2,763.84

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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.