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Finding the Fourth Proportional to 10,009.91, 13,817.72 and 6,034.43

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Solution

The fourth proportional to 10,009.91, 13,817.72 and 6,034.43 is: 8,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.91 : 13,817.72 = 6,034.43 : x
  2. Step 2: Convert to fraction form
    10,009.91/13,817.72 = 6,034.43/x
  3. Step 3: Cross multiply
    10,009.91x = 13,817.72 × 6,034.43
  4. Step 4: Simplify right side
    10,009.91x = 83,382,064.10
  5. Step 5: Solve for x
    x = 83,382,064.10/10,009.91
  6. Step 6: Final answer
    x = 8,329.95

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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.