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Finding the Fourth Proportional to 6,257.88, 9,390.67 and 2,560.13

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Solution

The fourth proportional to 6,257.88, 9,390.67 and 2,560.13 is: 3,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.88 : 9,390.67 = 2,560.13 : x
  2. Step 2: Convert to fraction form
    6,257.88/9,390.67 = 2,560.13/x
  3. Step 3: Cross multiply
    6,257.88x = 9,390.67 × 2,560.13
  4. Step 4: Simplify right side
    6,257.88x = 24,041,335.99
  5. Step 5: Solve for x
    x = 24,041,335.99/6,257.88
  6. Step 6: Final answer
    x = 3,841.77

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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.