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Finding the Fourth Proportional to 9,306.72, 12,843.36 and 5,115

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Solution

The fourth proportional to 9,306.72, 12,843.36 and 5,115 is: 7,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.72 : 12,843.36 = 5,115 : x
  2. Step 2: Convert to fraction form
    9,306.72/12,843.36 = 5,115/x
  3. Step 3: Cross multiply
    9,306.72x = 12,843.36 × 5,115
  4. Step 4: Simplify right side
    9,306.72x = 65,693,786.40
  5. Step 5: Solve for x
    x = 65,693,786.40/9,306.72
  6. Step 6: Final answer
    x = 7,058.75

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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.