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Finding the Fourth Proportional to 9,967.19, 13,753.69 and 6,138.21

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Solution

The fourth proportional to 9,967.19, 13,753.69 and 6,138.21 is: 8,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.19 : 13,753.69 = 6,138.21 : x
  2. Step 2: Convert to fraction form
    9,967.19/13,753.69 = 6,138.21/x
  3. Step 3: Cross multiply
    9,967.19x = 13,753.69 × 6,138.21
  4. Step 4: Simplify right side
    9,967.19x = 84,423,037.49
  5. Step 5: Solve for x
    x = 84,423,037.49/9,967.19
  6. Step 6: Final answer
    x = 8,470.09

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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.