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Finding the Fourth Proportional to 9,644.34, 13,308.99 and 5,452.59

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Solution

The fourth proportional to 9,644.34, 13,308.99 and 5,452.59 is: 7,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.34 : 13,308.99 = 5,452.59 : x
  2. Step 2: Convert to fraction form
    9,644.34/13,308.99 = 5,452.59/x
  3. Step 3: Cross multiply
    9,644.34x = 13,308.99 × 5,452.59
  4. Step 4: Simplify right side
    9,644.34x = 72,568,465.78
  5. Step 5: Solve for x
    x = 72,568,465.78/9,644.34
  6. Step 6: Final answer
    x = 7,524.46

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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.