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Finding the Fourth Proportional to 9,867.39, 13,616.44 and 5,390.25

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Solution

The fourth proportional to 9,867.39, 13,616.44 and 5,390.25 is: 7,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.39 : 13,616.44 = 5,390.25 : x
  2. Step 2: Convert to fraction form
    9,867.39/13,616.44 = 5,390.25/x
  3. Step 3: Cross multiply
    9,867.39x = 13,616.44 × 5,390.25
  4. Step 4: Simplify right side
    9,867.39x = 73,396,015.71
  5. Step 5: Solve for x
    x = 73,396,015.71/9,867.39
  6. Step 6: Final answer
    x = 7,438.24

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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.