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Finding the Fourth Proportional to 9,782.33, 13,499.85 and 5,952.65

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Solution

The fourth proportional to 9,782.33, 13,499.85 and 5,952.65 is: 8,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.33 : 13,499.85 = 5,952.65 : x
  2. Step 2: Convert to fraction form
    9,782.33/13,499.85 = 5,952.65/x
  3. Step 3: Cross multiply
    9,782.33x = 13,499.85 × 5,952.65
  4. Step 4: Simplify right side
    9,782.33x = 80,359,915.85
  5. Step 5: Solve for x
    x = 80,359,915.85/9,782.33
  6. Step 6: Final answer
    x = 8,214.80

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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.