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Finding the Fourth Proportional to 9,867.14, 13,616.42 and 5,390.90

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Solution

The fourth proportional to 9,867.14, 13,616.42 and 5,390.90 is: 7,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.14 : 13,616.42 = 5,390.90 : x
  2. Step 2: Convert to fraction form
    9,867.14/13,616.42 = 5,390.90/x
  3. Step 3: Cross multiply
    9,867.14x = 13,616.42 × 5,390.90
  4. Step 4: Simplify right side
    9,867.14x = 73,404,663.54
  5. Step 5: Solve for x
    x = 73,404,663.54/9,867.14
  6. Step 6: Final answer
    x = 7,439.31

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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.