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Finding the Fourth Proportional to 9,853.14, 13,599.09 and 5,874.51

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Solution

The fourth proportional to 9,853.14, 13,599.09 and 5,874.51 is: 8,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.14 : 13,599.09 = 5,874.51 : x
  2. Step 2: Convert to fraction form
    9,853.14/13,599.09 = 5,874.51/x
  3. Step 3: Cross multiply
    9,853.14x = 13,599.09 × 5,874.51
  4. Step 4: Simplify right side
    9,853.14x = 79,887,964.70
  5. Step 5: Solve for x
    x = 79,887,964.70/9,853.14
  6. Step 6: Final answer
    x = 8,107.87

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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.