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Finding the Fourth Proportional to 9,967.14, 13,754.17 and 5,490.78

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Solution

The fourth proportional to 9,967.14, 13,754.17 and 5,490.78 is: 7,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.14 : 13,754.17 = 5,490.78 : x
  2. Step 2: Convert to fraction form
    9,967.14/13,754.17 = 5,490.78/x
  3. Step 3: Cross multiply
    9,967.14x = 13,754.17 × 5,490.78
  4. Step 4: Simplify right side
    9,967.14x = 75,521,121.55
  5. Step 5: Solve for x
    x = 75,521,121.55/9,967.14
  6. Step 6: Final answer
    x = 7,577.01

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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.