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Finding the Fourth Proportional to 6,186.74, 9,282.16 and 4,114.90

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Solution

The fourth proportional to 6,186.74, 9,282.16 and 4,114.90 is: 6,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.74 : 9,282.16 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    6,186.74/9,282.16 = 4,114.90/x
  3. Step 3: Cross multiply
    6,186.74x = 9,282.16 × 4,114.90
  4. Step 4: Simplify right side
    6,186.74x = 38,195,160.18
  5. Step 5: Solve for x
    x = 38,195,160.18/6,186.74
  6. Step 6: Final answer
    x = 6,173.71

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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.