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Finding the Fourth Proportional to 10,728.05, 14,778.25 and 9,129.61

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Solution

The fourth proportional to 10,728.05, 14,778.25 and 9,129.61 is: 12,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.05 : 14,778.25 = 9,129.61 : x
  2. Step 2: Convert to fraction form
    10,728.05/14,778.25 = 9,129.61/x
  3. Step 3: Cross multiply
    10,728.05x = 14,778.25 × 9,129.61
  4. Step 4: Simplify right side
    10,728.05x = 134,919,654.63
  5. Step 5: Solve for x
    x = 134,919,654.63/10,728.05
  6. Step 6: Final answer
    x = 12,576.35

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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.