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Finding the Fourth Proportional to 6,257.41, 9,385.77 and 1,577.41

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Solution

The fourth proportional to 6,257.41, 9,385.77 and 1,577.41 is: 2,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.41 : 9,385.77 = 1,577.41 : x
  2. Step 2: Convert to fraction form
    6,257.41/9,385.77 = 1,577.41/x
  3. Step 3: Cross multiply
    6,257.41x = 9,385.77 × 1,577.41
  4. Step 4: Simplify right side
    6,257.41x = 14,805,207.46
  5. Step 5: Solve for x
    x = 14,805,207.46/6,257.41
  6. Step 6: Final answer
    x = 2,366.03

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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.