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Finding the Fourth Proportional to 9,514.88, 13,122.48 and 5,737.22

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Solution

The fourth proportional to 9,514.88, 13,122.48 and 5,737.22 is: 7,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.88 : 13,122.48 = 5,737.22 : x
  2. Step 2: Convert to fraction form
    9,514.88/13,122.48 = 5,737.22/x
  3. Step 3: Cross multiply
    9,514.88x = 13,122.48 × 5,737.22
  4. Step 4: Simplify right side
    9,514.88x = 75,286,554.71
  5. Step 5: Solve for x
    x = 75,286,554.71/9,514.88
  6. Step 6: Final answer
    x = 7,912.51

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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.