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Finding the Fourth Proportional to 6,471.80, 9,705.30 and 2,575.40

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Solution

The fourth proportional to 6,471.80, 9,705.30 and 2,575.40 is: 3,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.80 : 9,705.30 = 2,575.40 : x
  2. Step 2: Convert to fraction form
    6,471.80/9,705.30 = 2,575.40/x
  3. Step 3: Cross multiply
    6,471.80x = 9,705.30 × 2,575.40
  4. Step 4: Simplify right side
    6,471.80x = 24,995,029.62
  5. Step 5: Solve for x
    x = 24,995,029.62/6,471.80
  6. Step 6: Final answer
    x = 3,862.14

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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.