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Finding the Fourth Proportional to 9,967.44, 13,754.03 and 6,138.46

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Solution

The fourth proportional to 9,967.44, 13,754.03 and 6,138.46 is: 8,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.44 : 13,754.03 = 6,138.46 : x
  2. Step 2: Convert to fraction form
    9,967.44/13,754.03 = 6,138.46/x
  3. Step 3: Cross multiply
    9,967.44x = 13,754.03 × 6,138.46
  4. Step 4: Simplify right side
    9,967.44x = 84,428,562.99
  5. Step 5: Solve for x
    x = 84,428,562.99/9,967.44
  6. Step 6: Final answer
    x = 8,470.44

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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.