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Finding the Fourth Proportional to 6,589.68, 9,887.04 and 3,127.20

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Solution

The fourth proportional to 6,589.68, 9,887.04 and 3,127.20 is: 4,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.68 : 9,887.04 = 3,127.20 : x
  2. Step 2: Convert to fraction form
    6,589.68/9,887.04 = 3,127.20/x
  3. Step 3: Cross multiply
    6,589.68x = 9,887.04 × 3,127.20
  4. Step 4: Simplify right side
    6,589.68x = 30,918,751.49
  5. Step 5: Solve for x
    x = 30,918,751.49/6,589.68
  6. Step 6: Final answer
    x = 4,692.00

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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.