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Finding the Fourth Proportional to 9,502.25, 14,251.73 and 2,575.13

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Solution

The fourth proportional to 9,502.25, 14,251.73 and 2,575.13 is: 3,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.25 : 14,251.73 = 2,575.13 : x
  2. Step 2: Convert to fraction form
    9,502.25/14,251.73 = 2,575.13/x
  3. Step 3: Cross multiply
    9,502.25x = 14,251.73 × 2,575.13
  4. Step 4: Simplify right side
    9,502.25x = 36,699,973.34
  5. Step 5: Solve for x
    x = 36,699,973.34/9,502.25
  6. Step 6: Final answer
    x = 3,862.24

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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.