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Finding the Fourth Proportional to 9,697.38, 14,546.18 and 3,123.55

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Solution

The fourth proportional to 9,697.38, 14,546.18 and 3,123.55 is: 4,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.38 : 14,546.18 = 3,123.55 : x
  2. Step 2: Convert to fraction form
    9,697.38/14,546.18 = 3,123.55/x
  3. Step 3: Cross multiply
    9,697.38x = 14,546.18 × 3,123.55
  4. Step 4: Simplify right side
    9,697.38x = 45,435,720.54
  5. Step 5: Solve for x
    x = 45,435,720.54/9,697.38
  6. Step 6: Final answer
    x = 4,685.36

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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.