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Finding the Fourth Proportional to 6,098.30, 9,149.27 and 3,178.65

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Solution

The fourth proportional to 6,098.30, 9,149.27 and 3,178.65 is: 4,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.30 : 9,149.27 = 3,178.65 : x
  2. Step 2: Convert to fraction form
    6,098.30/9,149.27 = 3,178.65/x
  3. Step 3: Cross multiply
    6,098.30x = 9,149.27 × 3,178.65
  4. Step 4: Simplify right side
    6,098.30x = 29,082,311.19
  5. Step 5: Solve for x
    x = 29,082,311.19/6,098.30
  6. Step 6: Final answer
    x = 4,768.92

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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.