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Finding the Fourth Proportional to 9,508.80, 14,261.67 and 5,988

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Solution

The fourth proportional to 9,508.80, 14,261.67 and 5,988 is: 8,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.80 : 14,261.67 = 5,988 : x
  2. Step 2: Convert to fraction form
    9,508.80/14,261.67 = 5,988/x
  3. Step 3: Cross multiply
    9,508.80x = 14,261.67 × 5,988
  4. Step 4: Simplify right side
    9,508.80x = 85,398,879.96
  5. Step 5: Solve for x
    x = 85,398,879.96/9,508.80
  6. Step 6: Final answer
    x = 8,981.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.