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Finding the Fourth Proportional to 9,638.64, 14,452.47 and 5,745.78

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Solution

The fourth proportional to 9,638.64, 14,452.47 and 5,745.78 is: 8,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.64 : 14,452.47 = 5,745.78 : x
  2. Step 2: Convert to fraction form
    9,638.64/14,452.47 = 5,745.78/x
  3. Step 3: Cross multiply
    9,638.64x = 14,452.47 × 5,745.78
  4. Step 4: Simplify right side
    9,638.64x = 83,040,713.08
  5. Step 5: Solve for x
    x = 83,040,713.08/9,638.64
  6. Step 6: Final answer
    x = 8,615.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.