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Finding the Fourth Proportional to 9,580.78, 14,371.88 and 2,560.63

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Solution

The fourth proportional to 9,580.78, 14,371.88 and 2,560.63 is: 3,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.78 : 14,371.88 = 2,560.63 : x
  2. Step 2: Convert to fraction form
    9,580.78/14,371.88 = 2,560.63/x
  3. Step 3: Cross multiply
    9,580.78x = 14,371.88 × 2,560.63
  4. Step 4: Simplify right side
    9,580.78x = 36,801,098.12
  5. Step 5: Solve for x
    x = 36,801,098.12/9,580.78
  6. Step 6: Final answer
    x = 3,841.14

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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.