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Finding the Fourth Proportional to 6,283.40, 9,421.22 and 2,123.01

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Solution

The fourth proportional to 6,283.40, 9,421.22 and 2,123.01 is: 3,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.40 : 9,421.22 = 2,123.01 : x
  2. Step 2: Convert to fraction form
    6,283.40/9,421.22 = 2,123.01/x
  3. Step 3: Cross multiply
    6,283.40x = 9,421.22 × 2,123.01
  4. Step 4: Simplify right side
    6,283.40x = 20,001,344.27
  5. Step 5: Solve for x
    x = 20,001,344.27/6,283.40
  6. Step 6: Final answer
    x = 3,183.20

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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.