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Finding the Fourth Proportional to 6,380.40, 9,570.60 and 5,732.40

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Solution

The fourth proportional to 6,380.40, 9,570.60 and 5,732.40 is: 8,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.40 : 9,570.60 = 5,732.40 : x
  2. Step 2: Convert to fraction form
    6,380.40/9,570.60 = 5,732.40/x
  3. Step 3: Cross multiply
    6,380.40x = 9,570.60 × 5,732.40
  4. Step 4: Simplify right side
    6,380.40x = 54,862,507.44
  5. Step 5: Solve for x
    x = 54,862,507.44/6,380.40
  6. Step 6: Final answer
    x = 8,598.60

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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.