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Finding the Fourth Proportional to 9,195.34, 13,797.57 and 3,648.55

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Solution

The fourth proportional to 9,195.34, 13,797.57 and 3,648.55 is: 5,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.34 : 13,797.57 = 3,648.55 : x
  2. Step 2: Convert to fraction form
    9,195.34/13,797.57 = 3,648.55/x
  3. Step 3: Cross multiply
    9,195.34x = 13,797.57 × 3,648.55
  4. Step 4: Simplify right side
    9,195.34x = 50,341,124.02
  5. Step 5: Solve for x
    x = 50,341,124.02/9,195.34
  6. Step 6: Final answer
    x = 5,474.63

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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.