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Finding the Fourth Proportional to 9,969.45, 13,764.24 and 6,196.65

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Solution

The fourth proportional to 9,969.45, 13,764.24 and 6,196.65 is: 8,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.45 : 13,764.24 = 6,196.65 : x
  2. Step 2: Convert to fraction form
    9,969.45/13,764.24 = 6,196.65/x
  3. Step 3: Cross multiply
    9,969.45x = 13,764.24 × 6,196.65
  4. Step 4: Simplify right side
    9,969.45x = 85,292,177.80
  5. Step 5: Solve for x
    x = 85,292,177.80/9,969.45
  6. Step 6: Final answer
    x = 8,555.35

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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.