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Finding the Fourth Proportional to 9,867.92, 13,618.65 and 5,392.33

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Solution

The fourth proportional to 9,867.92, 13,618.65 and 5,392.33 is: 7,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.92 : 13,618.65 = 5,392.33 : x
  2. Step 2: Convert to fraction form
    9,867.92/13,618.65 = 5,392.33/x
  3. Step 3: Cross multiply
    9,867.92x = 13,618.65 × 5,392.33
  4. Step 4: Simplify right side
    9,867.92x = 73,436,275.52
  5. Step 5: Solve for x
    x = 73,436,275.52/9,867.92
  6. Step 6: Final answer
    x = 7,441.92

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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.