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Finding the Fourth Proportional to 6,419,314.88, 8,853,489.10 and 5,643,286.47

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Solution

The fourth proportional to 6,419,314.88, 8,853,489.10 and 5,643,286.47 is: 7,783,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,314.88 : 8,853,489.10 = 5,643,286.47 : x
  2. Step 2: Convert to fraction form
    6,419,314.88/8,853,489.10 = 5,643,286.47/x
  3. Step 3: Cross multiply
    6,419,314.88x = 8,853,489.10 × 5,643,286.47
  4. Step 4: Simplify right side
    6,419,314.88x = 49,962,775,257,376.59
  5. Step 5: Solve for x
    x = 49,962,775,257,376.59/6,419,314.88
  6. Step 6: Final answer
    x = 7,783,194.34

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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.