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Finding the Fourth Proportional to 9,541.33, 13,167.84 and 5,293.72

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Solution

The fourth proportional to 9,541.33, 13,167.84 and 5,293.72 is: 7,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.33 : 13,167.84 = 5,293.72 : x
  2. Step 2: Convert to fraction form
    9,541.33/13,167.84 = 5,293.72/x
  3. Step 3: Cross multiply
    9,541.33x = 13,167.84 × 5,293.72
  4. Step 4: Simplify right side
    9,541.33x = 69,706,857.96
  5. Step 5: Solve for x
    x = 69,706,857.96/9,541.33
  6. Step 6: Final answer
    x = 7,305.78

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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.