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Finding the Fourth Proportional to 9,979.14, 13,770.63 and 5,502

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Solution

The fourth proportional to 9,979.14, 13,770.63 and 5,502 is: 7,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.14 : 13,770.63 = 5,502 : x
  2. Step 2: Convert to fraction form
    9,979.14/13,770.63 = 5,502/x
  3. Step 3: Cross multiply
    9,979.14x = 13,770.63 × 5,502
  4. Step 4: Simplify right side
    9,979.14x = 75,766,006.26
  5. Step 5: Solve for x
    x = 75,766,006.26/9,979.14
  6. Step 6: Final answer
    x = 7,592.44

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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.