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Finding the Fourth Proportional to 9,865.41, 13,614.66 and 5,616.87

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Solution

The fourth proportional to 9,865.41, 13,614.66 and 5,616.87 is: 7,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.41 : 13,614.66 = 5,616.87 : x
  2. Step 2: Convert to fraction form
    9,865.41/13,614.66 = 5,616.87/x
  3. Step 3: Cross multiply
    9,865.41x = 13,614.66 × 5,616.87
  4. Step 4: Simplify right side
    9,865.41x = 76,471,775.31
  5. Step 5: Solve for x
    x = 76,471,775.31/9,865.41
  6. Step 6: Final answer
    x = 7,751.51

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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.