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Finding the Fourth Proportional to 9,980.78, 13,772.84 and 5,728.84

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Solution

The fourth proportional to 9,980.78, 13,772.84 and 5,728.84 is: 7,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.78 : 13,772.84 = 5,728.84 : x
  2. Step 2: Convert to fraction form
    9,980.78/13,772.84 = 5,728.84/x
  3. Step 3: Cross multiply
    9,980.78x = 13,772.84 × 5,728.84
  4. Step 4: Simplify right side
    9,980.78x = 78,902,396.71
  5. Step 5: Solve for x
    x = 78,902,396.71/9,980.78
  6. Step 6: Final answer
    x = 7,905.43

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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.