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Finding the Fourth Proportional to 6,314,813.88, 8,714,435.73 and 3,414,197.86

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Solution

The fourth proportional to 6,314,813.88, 8,714,435.73 and 3,414,197.86 is: 4,711,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,813.88 : 8,714,435.73 = 3,414,197.86 : x
  2. Step 2: Convert to fraction form
    6,314,813.88/8,714,435.73 = 3,414,197.86/x
  3. Step 3: Cross multiply
    6,314,813.88x = 8,714,435.73 × 3,414,197.86
  4. Step 4: Simplify right side
    6,314,813.88x = 29,752,807,820,473.54
  5. Step 5: Solve for x
    x = 29,752,807,820,473.54/6,314,813.88
  6. Step 6: Final answer
    x = 4,711,589.03

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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.