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Finding the Fourth Proportional to 6,317.74, 9,468.92 and 4,469.39

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Solution

The fourth proportional to 6,317.74, 9,468.92 and 4,469.39 is: 6,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.74 : 9,468.92 = 4,469.39 : x
  2. Step 2: Convert to fraction form
    6,317.74/9,468.92 = 4,469.39/x
  3. Step 3: Cross multiply
    6,317.74x = 9,468.92 × 4,469.39
  4. Step 4: Simplify right side
    6,317.74x = 42,320,283.86
  5. Step 5: Solve for x
    x = 42,320,283.86/6,317.74
  6. Step 6: Final answer
    x = 6,698.64

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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.