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Finding the Fourth Proportional to 6,314.24, 8,704.52 and 4,419.94

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Solution

The fourth proportional to 6,314.24, 8,704.52 and 4,419.94 is: 6,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.24 : 8,704.52 = 4,419.94 : x
  2. Step 2: Convert to fraction form
    6,314.24/8,704.52 = 4,419.94/x
  3. Step 3: Cross multiply
    6,314.24x = 8,704.52 × 4,419.94
  4. Step 4: Simplify right side
    6,314.24x = 38,473,456.13
  5. Step 5: Solve for x
    x = 38,473,456.13/6,314.24
  6. Step 6: Final answer
    x = 6,093.13

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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.