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Finding the Fourth Proportional to 10,125.65, 15,094.61 and 9,965.73

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Solution

The fourth proportional to 10,125.65, 15,094.61 and 9,965.73 is: 14,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.65 : 15,094.61 = 9,965.73 : x
  2. Step 2: Convert to fraction form
    10,125.65/15,094.61 = 9,965.73/x
  3. Step 3: Cross multiply
    10,125.65x = 15,094.61 × 9,965.73
  4. Step 4: Simplify right side
    10,125.65x = 150,428,738.65
  5. Step 5: Solve for x
    x = 150,428,738.65/10,125.65
  6. Step 6: Final answer
    x = 14,856.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.