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Finding the Fourth Proportional to 8,738.84, 12,062.24 and 5,945.96

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Solution

The fourth proportional to 8,738.84, 12,062.24 and 5,945.96 is: 8,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.84 : 12,062.24 = 5,945.96 : x
  2. Step 2: Convert to fraction form
    8,738.84/12,062.24 = 5,945.96/x
  3. Step 3: Cross multiply
    8,738.84x = 12,062.24 × 5,945.96
  4. Step 4: Simplify right side
    8,738.84x = 71,721,506.51
  5. Step 5: Solve for x
    x = 71,721,506.51/8,738.84
  6. Step 6: Final answer
    x = 8,207.22

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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.