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Finding the Fourth Proportional to 9,502.56, 14,252.40 and 2,575.44

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Solution

The fourth proportional to 9,502.56, 14,252.40 and 2,575.44 is: 3,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.56 : 14,252.40 = 2,575.44 : x
  2. Step 2: Convert to fraction form
    9,502.56/14,252.40 = 2,575.44/x
  3. Step 3: Cross multiply
    9,502.56x = 14,252.40 × 2,575.44
  4. Step 4: Simplify right side
    9,502.56x = 36,706,201.06
  5. Step 5: Solve for x
    x = 36,706,201.06/9,502.56
  6. Step 6: Final answer
    x = 3,862.77

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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.