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Finding the Fourth Proportional to 6,358.76, 9,534.80 and 2,660.30

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Solution

The fourth proportional to 6,358.76, 9,534.80 and 2,660.30 is: 3,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.76 : 9,534.80 = 2,660.30 : x
  2. Step 2: Convert to fraction form
    6,358.76/9,534.80 = 2,660.30/x
  3. Step 3: Cross multiply
    6,358.76x = 9,534.80 × 2,660.30
  4. Step 4: Simplify right side
    6,358.76x = 25,365,387.42
  5. Step 5: Solve for x
    x = 25,365,387.42/6,358.76
  6. Step 6: Final answer
    x = 3,989.05

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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.