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Finding the Fourth Proportional to 6,199.38, 9,306.02 and 4,123.46

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Solution

The fourth proportional to 6,199.38, 9,306.02 and 4,123.46 is: 6,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.38 : 9,306.02 = 4,123.46 : x
  2. Step 2: Convert to fraction form
    6,199.38/9,306.02 = 4,123.46/x
  3. Step 3: Cross multiply
    6,199.38x = 9,306.02 × 4,123.46
  4. Step 4: Simplify right side
    6,199.38x = 38,372,934.08
  5. Step 5: Solve for x
    x = 38,372,934.08/6,199.38
  6. Step 6: Final answer
    x = 6,189.80

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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.