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Finding the Fourth Proportional to 7,098.20, 9,795.66 and 4,115

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Solution

The fourth proportional to 7,098.20, 9,795.66 and 4,115 is: 5,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.20 : 9,795.66 = 4,115 : x
  2. Step 2: Convert to fraction form
    7,098.20/9,795.66 = 4,115/x
  3. Step 3: Cross multiply
    7,098.20x = 9,795.66 × 4,115
  4. Step 4: Simplify right side
    7,098.20x = 40,309,140.90
  5. Step 5: Solve for x
    x = 40,309,140.90/7,098.20
  6. Step 6: Final answer
    x = 5,678.78

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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.