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Finding the Fourth Proportional to 6,327.34, 9,481.78 and 4,477.45

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Solution

The fourth proportional to 6,327.34, 9,481.78 and 4,477.45 is: 6,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.34 : 9,481.78 = 4,477.45 : x
  2. Step 2: Convert to fraction form
    6,327.34/9,481.78 = 4,477.45/x
  3. Step 3: Cross multiply
    6,327.34x = 9,481.78 × 4,477.45
  4. Step 4: Simplify right side
    6,327.34x = 42,454,195.86
  5. Step 5: Solve for x
    x = 42,454,195.86/6,327.34
  6. Step 6: Final answer
    x = 6,709.64

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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.