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Finding the Fourth Proportional to 6,283.17, 9,424.78 and 2,123.21

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Solution

The fourth proportional to 6,283.17, 9,424.78 and 2,123.21 is: 3,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.17 : 9,424.78 = 2,123.21 : x
  2. Step 2: Convert to fraction form
    6,283.17/9,424.78 = 2,123.21/x
  3. Step 3: Cross multiply
    6,283.17x = 9,424.78 × 2,123.21
  4. Step 4: Simplify right side
    6,283.17x = 20,010,805.40
  5. Step 5: Solve for x
    x = 20,010,805.40/6,283.17
  6. Step 6: Final answer
    x = 3,184.83

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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.