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Finding the Fourth Proportional to 9,832.95, 13,568.58 and 5,853.42

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Solution

The fourth proportional to 9,832.95, 13,568.58 and 5,853.42 is: 8,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.95 : 13,568.58 = 5,853.42 : x
  2. Step 2: Convert to fraction form
    9,832.95/13,568.58 = 5,853.42/x
  3. Step 3: Cross multiply
    9,832.95x = 13,568.58 × 5,853.42
  4. Step 4: Simplify right side
    9,832.95x = 79,422,597.54
  5. Step 5: Solve for x
    x = 79,422,597.54/9,832.95
  6. Step 6: Final answer
    x = 8,077.19

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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.