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Finding the Fourth Proportional to 6,584,185.60, 9,876,278.40 and 6,542,195.20

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Solution

The fourth proportional to 6,584,185.60, 9,876,278.40 and 6,542,195.20 is: 9,813,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,185.60 : 9,876,278.40 = 6,542,195.20 : x
  2. Step 2: Convert to fraction form
    6,584,185.60/9,876,278.40 = 6,542,195.20/x
  3. Step 3: Cross multiply
    6,584,185.60x = 9,876,278.40 × 6,542,195.20
  4. Step 4: Simplify right side
    6,584,185.60x = 64,612,541,142,343.69
  5. Step 5: Solve for x
    x = 64,612,541,142,343.69/6,584,185.60
  6. Step 6: Final answer
    x = 9,813,292.80

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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.