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Finding the Fourth Proportional to 6,069.60, 9,104.84 and 1,687.40

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Solution

The fourth proportional to 6,069.60, 9,104.84 and 1,687.40 is: 2,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.60 : 9,104.84 = 1,687.40 : x
  2. Step 2: Convert to fraction form
    6,069.60/9,104.84 = 1,687.40/x
  3. Step 3: Cross multiply
    6,069.60x = 9,104.84 × 1,687.40
  4. Step 4: Simplify right side
    6,069.60x = 15,363,507.02
  5. Step 5: Solve for x
    x = 15,363,507.02/6,069.60
  6. Step 6: Final answer
    x = 2,531.22

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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.