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Finding the Fourth Proportional to 6,377.60, 9,567.71 and 2,677.65

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Solution

The fourth proportional to 6,377.60, 9,567.71 and 2,677.65 is: 4,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.60 : 9,567.71 = 2,677.65 : x
  2. Step 2: Convert to fraction form
    6,377.60/9,567.71 = 2,677.65/x
  3. Step 3: Cross multiply
    6,377.60x = 9,567.71 × 2,677.65
  4. Step 4: Simplify right side
    6,377.60x = 25,618,978.68
  5. Step 5: Solve for x
    x = 25,618,978.68/6,377.60
  6. Step 6: Final answer
    x = 4,017.03

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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.