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Finding the Fourth Proportional to 9,638.80, 13,301.42 and 5,659.07

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Solution

The fourth proportional to 9,638.80, 13,301.42 and 5,659.07 is: 7,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.80 : 13,301.42 = 5,659.07 : x
  2. Step 2: Convert to fraction form
    9,638.80/13,301.42 = 5,659.07/x
  3. Step 3: Cross multiply
    9,638.80x = 13,301.42 × 5,659.07
  4. Step 4: Simplify right side
    9,638.80x = 75,273,572.08
  5. Step 5: Solve for x
    x = 75,273,572.08/9,638.80
  6. Step 6: Final answer
    x = 7,809.44

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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.