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Finding the Fourth Proportional to 6,283.90, 9,421.98 and 2,123.52

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Solution

The fourth proportional to 6,283.90, 9,421.98 and 2,123.52 is: 3,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.90 : 9,421.98 = 2,123.52 : x
  2. Step 2: Convert to fraction form
    6,283.90/9,421.98 = 2,123.52/x
  3. Step 3: Cross multiply
    6,283.90x = 9,421.98 × 2,123.52
  4. Step 4: Simplify right side
    6,283.90x = 20,007,715.86
  5. Step 5: Solve for x
    x = 20,007,715.86/6,283.90
  6. Step 6: Final answer
    x = 3,183.96

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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.