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Finding the Fourth Proportional to 6,117.90, 8,441.67 and 3,464.73

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Solution

The fourth proportional to 6,117.90, 8,441.67 and 3,464.73 is: 4,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.90 : 8,441.67 = 3,464.73 : x
  2. Step 2: Convert to fraction form
    6,117.90/8,441.67 = 3,464.73/x
  3. Step 3: Cross multiply
    6,117.90x = 8,441.67 × 3,464.73
  4. Step 4: Simplify right side
    6,117.90x = 29,248,107.30
  5. Step 5: Solve for x
    x = 29,248,107.30/6,117.90
  6. Step 6: Final answer
    x = 4,780.74

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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.