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Finding the Fourth Proportional to 9,541.54, 13,167.46 and 5,764.18

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Solution

The fourth proportional to 9,541.54, 13,167.46 and 5,764.18 is: 7,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.54 : 13,167.46 = 5,764.18 : x
  2. Step 2: Convert to fraction form
    9,541.54/13,167.46 = 5,764.18/x
  3. Step 3: Cross multiply
    9,541.54x = 13,167.46 × 5,764.18
  4. Step 4: Simplify right side
    9,541.54x = 75,899,562.25
  5. Step 5: Solve for x
    x = 75,899,562.25/9,541.54
  6. Step 6: Final answer
    x = 7,954.65

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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.