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Finding the Fourth Proportional to 9,988.82, 13,780.04 and 5,738.82

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Solution

The fourth proportional to 9,988.82, 13,780.04 and 5,738.82 is: 7,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.82 : 13,780.04 = 5,738.82 : x
  2. Step 2: Convert to fraction form
    9,988.82/13,780.04 = 5,738.82/x
  3. Step 3: Cross multiply
    9,988.82x = 13,780.04 × 5,738.82
  4. Step 4: Simplify right side
    9,988.82x = 79,081,169.15
  5. Step 5: Solve for x
    x = 79,081,169.15/9,988.82
  6. Step 6: Final answer
    x = 7,916.97

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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.