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Finding the Fourth Proportional to 10,204.56, 14,073.48 and 9,167.76

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Solution

The fourth proportional to 10,204.56, 14,073.48 and 9,167.76 is: 12,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.56 : 14,073.48 = 9,167.76 : x
  2. Step 2: Convert to fraction form
    10,204.56/14,073.48 = 9,167.76/x
  3. Step 3: Cross multiply
    10,204.56x = 14,073.48 × 9,167.76
  4. Step 4: Simplify right side
    10,204.56x = 129,022,287.00
  5. Step 5: Solve for x
    x = 129,022,287.00/10,204.56
  6. Step 6: Final answer
    x = 12,643.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.