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Finding the Fourth Proportional to 9,638.48, 13,301.96 and 6,055.92

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Solution

The fourth proportional to 9,638.48, 13,301.96 and 6,055.92 is: 8,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.48 : 13,301.96 = 6,055.92 : x
  2. Step 2: Convert to fraction form
    9,638.48/13,301.96 = 6,055.92/x
  3. Step 3: Cross multiply
    9,638.48x = 13,301.96 × 6,055.92
  4. Step 4: Simplify right side
    9,638.48x = 80,555,605.60
  5. Step 5: Solve for x
    x = 80,555,605.60/9,638.48
  6. Step 6: Final answer
    x = 8,357.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.