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Finding the Fourth Proportional to 9,644.68, 13,306.98 and 5,452.84

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Solution

The fourth proportional to 9,644.68, 13,306.98 and 5,452.84 is: 7,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.68 : 13,306.98 = 5,452.84 : x
  2. Step 2: Convert to fraction form
    9,644.68/13,306.98 = 5,452.84/x
  3. Step 3: Cross multiply
    9,644.68x = 13,306.98 × 5,452.84
  4. Step 4: Simplify right side
    9,644.68x = 72,560,832.82
  5. Step 5: Solve for x
    x = 72,560,832.82/9,644.68
  6. Step 6: Final answer
    x = 7,523.40

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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.