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Finding the Fourth Proportional to 7,098.28, 9,797.30 and 4,115.74

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Solution

The fourth proportional to 7,098.28, 9,797.30 and 4,115.74 is: 5,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.28 : 9,797.30 = 4,115.74 : x
  2. Step 2: Convert to fraction form
    7,098.28/9,797.30 = 4,115.74/x
  3. Step 3: Cross multiply
    7,098.28x = 9,797.30 × 4,115.74
  4. Step 4: Simplify right side
    7,098.28x = 40,323,139.50
  5. Step 5: Solve for x
    x = 40,323,139.50/7,098.28
  6. Step 6: Final answer
    x = 5,680.69

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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.