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Finding the Fourth Proportional to 9,706.20, 14,522.40 and 5,999.24

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Solution

The fourth proportional to 9,706.20, 14,522.40 and 5,999.24 is: 8,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.20 : 14,522.40 = 5,999.24 : x
  2. Step 2: Convert to fraction form
    9,706.20/14,522.40 = 5,999.24/x
  3. Step 3: Cross multiply
    9,706.20x = 14,522.40 × 5,999.24
  4. Step 4: Simplify right side
    9,706.20x = 87,123,290.36
  5. Step 5: Solve for x
    x = 87,123,290.36/9,706.20
  6. Step 6: Final answer
    x = 8,976.05

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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.