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Finding the Fourth Proportional to 6,422.80, 9,655.80 and 5,472.40

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Solution

The fourth proportional to 6,422.80, 9,655.80 and 5,472.40 is: 8,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.80 : 9,655.80 = 5,472.40 : x
  2. Step 2: Convert to fraction form
    6,422.80/9,655.80 = 5,472.40/x
  3. Step 3: Cross multiply
    6,422.80x = 9,655.80 × 5,472.40
  4. Step 4: Simplify right side
    6,422.80x = 52,840,399.92
  5. Step 5: Solve for x
    x = 52,840,399.92/6,422.80
  6. Step 6: Final answer
    x = 8,227.00

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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.