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Finding the Fourth Proportional to 6,687.81, 9,233.66 and 4,170.93

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Solution

The fourth proportional to 6,687.81, 9,233.66 and 4,170.93 is: 5,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.81 : 9,233.66 = 4,170.93 : x
  2. Step 2: Convert to fraction form
    6,687.81/9,233.66 = 4,170.93/x
  3. Step 3: Cross multiply
    6,687.81x = 9,233.66 × 4,170.93
  4. Step 4: Simplify right side
    6,687.81x = 38,512,949.50
  5. Step 5: Solve for x
    x = 38,512,949.50/6,687.81
  6. Step 6: Final answer
    x = 5,758.68

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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.