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Finding the Fourth Proportional to 6,187.65, 9,283.51 and 4,115.80

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Solution

The fourth proportional to 6,187.65, 9,283.51 and 4,115.80 is: 6,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.65 : 9,283.51 = 4,115.80 : x
  2. Step 2: Convert to fraction form
    6,187.65/9,283.51 = 4,115.80/x
  3. Step 3: Cross multiply
    6,187.65x = 9,283.51 × 4,115.80
  4. Step 4: Simplify right side
    6,187.65x = 38,209,049.88
  5. Step 5: Solve for x
    x = 38,209,049.88/6,187.65
  6. Step 6: Final answer
    x = 6,175.06

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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.