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Finding the Fourth Proportional to 6,078.76, 9,118.12 and 1,974.76

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Solution

The fourth proportional to 6,078.76, 9,118.12 and 1,974.76 is: 2,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.76 : 9,118.12 = 1,974.76 : x
  2. Step 2: Convert to fraction form
    6,078.76/9,118.12 = 1,974.76/x
  3. Step 3: Cross multiply
    6,078.76x = 9,118.12 × 1,974.76
  4. Step 4: Simplify right side
    6,078.76x = 18,006,098.65
  5. Step 5: Solve for x
    x = 18,006,098.65/6,078.76
  6. Step 6: Final answer
    x = 2,962.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.