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Finding the Fourth Proportional to 9,980.39, 13,770.74 and 5,731.13

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Solution

The fourth proportional to 9,980.39, 13,770.74 and 5,731.13 is: 7,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.39 : 13,770.74 = 5,731.13 : x
  2. Step 2: Convert to fraction form
    9,980.39/13,770.74 = 5,731.13/x
  3. Step 3: Cross multiply
    9,980.39x = 13,770.74 × 5,731.13
  4. Step 4: Simplify right side
    9,980.39x = 78,921,949.89
  5. Step 5: Solve for x
    x = 78,921,949.89/9,980.39
  6. Step 6: Final answer
    x = 7,907.70

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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.