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Finding the Fourth Proportional to 10,105.48, 13,939.22 and 6,956.20

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Solution

The fourth proportional to 10,105.48, 13,939.22 and 6,956.20 is: 9,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.48 : 13,939.22 = 6,956.20 : x
  2. Step 2: Convert to fraction form
    10,105.48/13,939.22 = 6,956.20/x
  3. Step 3: Cross multiply
    10,105.48x = 13,939.22 × 6,956.20
  4. Step 4: Simplify right side
    10,105.48x = 96,964,002.16
  5. Step 5: Solve for x
    x = 96,964,002.16/10,105.48
  6. Step 6: Final answer
    x = 9,595.19

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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.