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Finding the Fourth Proportional to 6,471.77, 9,707.64 and 2,575.25

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Solution

The fourth proportional to 6,471.77, 9,707.64 and 2,575.25 is: 3,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.77 : 9,707.64 = 2,575.25 : x
  2. Step 2: Convert to fraction form
    6,471.77/9,707.64 = 2,575.25/x
  3. Step 3: Cross multiply
    6,471.77x = 9,707.64 × 2,575.25
  4. Step 4: Simplify right side
    6,471.77x = 24,999,599.91
  5. Step 5: Solve for x
    x = 24,999,599.91/6,471.77
  6. Step 6: Final answer
    x = 3,862.87

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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.