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Finding the Fourth Proportional to 9,047.67, 13,568.90 and 3,123.01

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Solution

The fourth proportional to 9,047.67, 13,568.90 and 3,123.01 is: 4,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.67 : 13,568.90 = 3,123.01 : x
  2. Step 2: Convert to fraction form
    9,047.67/13,568.90 = 3,123.01/x
  3. Step 3: Cross multiply
    9,047.67x = 13,568.90 × 3,123.01
  4. Step 4: Simplify right side
    9,047.67x = 42,375,843.03
  5. Step 5: Solve for x
    x = 42,375,843.03/9,047.67
  6. Step 6: Final answer
    x = 4,683.62

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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.