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Finding the Fourth Proportional to 9,638.58, 14,451.48 and 5,480.55

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Solution

The fourth proportional to 9,638.58, 14,451.48 and 5,480.55 is: 8,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.58 : 14,451.48 = 5,480.55 : x
  2. Step 2: Convert to fraction form
    9,638.58/14,451.48 = 5,480.55/x
  3. Step 3: Cross multiply
    9,638.58x = 14,451.48 × 5,480.55
  4. Step 4: Simplify right side
    9,638.58x = 79,202,058.71
  5. Step 5: Solve for x
    x = 79,202,058.71/9,638.58
  6. Step 6: Final answer
    x = 8,217.19

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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.