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Finding the Fourth Proportional to 9,178.65, 12,659.49 and 6,189.75

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Solution

The fourth proportional to 9,178.65, 12,659.49 and 6,189.75 is: 8,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.65 : 12,659.49 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    9,178.65/12,659.49 = 6,189.75/x
  3. Step 3: Cross multiply
    9,178.65x = 12,659.49 × 6,189.75
  4. Step 4: Simplify right side
    9,178.65x = 78,359,078.23
  5. Step 5: Solve for x
    x = 78,359,078.23/9,178.65
  6. Step 6: Final answer
    x = 8,537.10

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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.