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Finding the Fourth Proportional to 9,464.80, 14,174.16 and 6,377.44

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Solution

The fourth proportional to 9,464.80, 14,174.16 and 6,377.44 is: 9,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.80 : 14,174.16 = 6,377.44 : x
  2. Step 2: Convert to fraction form
    9,464.80/14,174.16 = 6,377.44/x
  3. Step 3: Cross multiply
    9,464.80x = 14,174.16 × 6,377.44
  4. Step 4: Simplify right side
    9,464.80x = 90,394,854.95
  5. Step 5: Solve for x
    x = 90,394,854.95/9,464.80
  6. Step 6: Final answer
    x = 9,550.64

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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.