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Finding the Fourth Proportional to 6,323.82, 9,478.05 and 4,475.48

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Solution

The fourth proportional to 6,323.82, 9,478.05 and 4,475.48 is: 6,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.82 : 9,478.05 = 4,475.48 : x
  2. Step 2: Convert to fraction form
    6,323.82/9,478.05 = 4,475.48/x
  3. Step 3: Cross multiply
    6,323.82x = 9,478.05 × 4,475.48
  4. Step 4: Simplify right side
    6,323.82x = 42,418,823.21
  5. Step 5: Solve for x
    x = 42,418,823.21/6,323.82
  6. Step 6: Final answer
    x = 6,707.78

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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.