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Finding the Fourth Proportional to 9,919.28, 13,689.88 and 5,727.54

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Solution

The fourth proportional to 9,919.28, 13,689.88 and 5,727.54 is: 7,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.28 : 13,689.88 = 5,727.54 : x
  2. Step 2: Convert to fraction form
    9,919.28/13,689.88 = 5,727.54/x
  3. Step 3: Cross multiply
    9,919.28x = 13,689.88 × 5,727.54
  4. Step 4: Simplify right side
    9,919.28x = 78,409,335.30
  5. Step 5: Solve for x
    x = 78,409,335.30/9,919.28
  6. Step 6: Final answer
    x = 7,904.74

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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.