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Finding the Fourth Proportional to 9,233.80, 13,855.25 and 5,722.85

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Solution

The fourth proportional to 9,233.80, 13,855.25 and 5,722.85 is: 8,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.80 : 13,855.25 = 5,722.85 : x
  2. Step 2: Convert to fraction form
    9,233.80/13,855.25 = 5,722.85/x
  3. Step 3: Cross multiply
    9,233.80x = 13,855.25 × 5,722.85
  4. Step 4: Simplify right side
    9,233.80x = 79,291,566.41
  5. Step 5: Solve for x
    x = 79,291,566.41/9,233.80
  6. Step 6: Final answer
    x = 8,587.10

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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.