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Finding the Fourth Proportional to 9,071.68, 13,608.78 and 2,832.24

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Solution

The fourth proportional to 9,071.68, 13,608.78 and 2,832.24 is: 4,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.68 : 13,608.78 = 2,832.24 : x
  2. Step 2: Convert to fraction form
    9,071.68/13,608.78 = 2,832.24/x
  3. Step 3: Cross multiply
    9,071.68x = 13,608.78 × 2,832.24
  4. Step 4: Simplify right side
    9,071.68x = 38,543,331.07
  5. Step 5: Solve for x
    x = 38,543,331.07/9,071.68
  6. Step 6: Final answer
    x = 4,248.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.