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Finding the Fourth Proportional to 9,638.82, 13,309.11 and 7,397.15

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Solution

The fourth proportional to 9,638.82, 13,309.11 and 7,397.15 is: 10,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.82 : 13,309.11 = 7,397.15 : x
  2. Step 2: Convert to fraction form
    9,638.82/13,309.11 = 7,397.15/x
  3. Step 3: Cross multiply
    9,638.82x = 13,309.11 × 7,397.15
  4. Step 4: Simplify right side
    9,638.82x = 98,449,416.49
  5. Step 5: Solve for x
    x = 98,449,416.49/9,638.82
  6. Step 6: Final answer
    x = 10,213.85

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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.