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Finding the Fourth Proportional to 9,832.08, 13,568.64 and 5,801.69

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Solution

The fourth proportional to 9,832.08, 13,568.64 and 5,801.69 is: 8,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.08 : 13,568.64 = 5,801.69 : x
  2. Step 2: Convert to fraction form
    9,832.08/13,568.64 = 5,801.69/x
  3. Step 3: Cross multiply
    9,832.08x = 13,568.64 × 5,801.69
  4. Step 4: Simplify right side
    9,832.08x = 78,721,055.17
  5. Step 5: Solve for x
    x = 78,721,055.17/9,832.08
  6. Step 6: Final answer
    x = 8,006.55

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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.