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Finding the Fourth Proportional to 6,475.20, 9,691.20 and 5,697.60

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Solution

The fourth proportional to 6,475.20, 9,691.20 and 5,697.60 is: 8,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.20 : 9,691.20 = 5,697.60 : x
  2. Step 2: Convert to fraction form
    6,475.20/9,691.20 = 5,697.60/x
  3. Step 3: Cross multiply
    6,475.20x = 9,691.20 × 5,697.60
  4. Step 4: Simplify right side
    6,475.20x = 55,216,581.12
  5. Step 5: Solve for x
    x = 55,216,581.12/6,475.20
  6. Step 6: Final answer
    x = 8,527.39

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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.