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Finding the Fourth Proportional to 6,249.40, 9,368.70 and 3,781.60

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Solution

The fourth proportional to 6,249.40, 9,368.70 and 3,781.60 is: 5,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.40 : 9,368.70 = 3,781.60 : x
  2. Step 2: Convert to fraction form
    6,249.40/9,368.70 = 3,781.60/x
  3. Step 3: Cross multiply
    6,249.40x = 9,368.70 × 3,781.60
  4. Step 4: Simplify right side
    6,249.40x = 35,428,675.92
  5. Step 5: Solve for x
    x = 35,428,675.92/6,249.40
  6. Step 6: Final answer
    x = 5,669.13

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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.