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Finding the Fourth Proportional to 9,853.24, 13,597.74 and 5,874.68

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Solution

The fourth proportional to 9,853.24, 13,597.74 and 5,874.68 is: 8,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.24 : 13,597.74 = 5,874.68 : x
  2. Step 2: Convert to fraction form
    9,853.24/13,597.74 = 5,874.68/x
  3. Step 3: Cross multiply
    9,853.24x = 13,597.74 × 5,874.68
  4. Step 4: Simplify right side
    9,853.24x = 79,882,371.22
  5. Step 5: Solve for x
    x = 79,882,371.22/9,853.24
  6. Step 6: Final answer
    x = 8,107.22

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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.