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Finding the Fourth Proportional to 9,853.68, 13,597.74 and 5,872.74

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Solution

The fourth proportional to 9,853.68, 13,597.74 and 5,872.74 is: 8,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.68 : 13,597.74 = 5,872.74 : x
  2. Step 2: Convert to fraction form
    9,853.68/13,597.74 = 5,872.74/x
  3. Step 3: Cross multiply
    9,853.68x = 13,597.74 × 5,872.74
  4. Step 4: Simplify right side
    9,853.68x = 79,855,991.61
  5. Step 5: Solve for x
    x = 79,855,991.61/9,853.68
  6. Step 6: Final answer
    x = 8,104.18

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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.