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Finding the Fourth Proportional to 9,766.38, 13,482.27 and 5,573.82

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Solution

The fourth proportional to 9,766.38, 13,482.27 and 5,573.82 is: 7,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.38 : 13,482.27 = 5,573.82 : x
  2. Step 2: Convert to fraction form
    9,766.38/13,482.27 = 5,573.82/x
  3. Step 3: Cross multiply
    9,766.38x = 13,482.27 × 5,573.82
  4. Step 4: Simplify right side
    9,766.38x = 75,147,746.17
  5. Step 5: Solve for x
    x = 75,147,746.17/9,766.38
  6. Step 6: Final answer
    x = 7,694.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.