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Finding the Fourth Proportional to 6,283.13, 9,424.94 and 2,123.55

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Solution

The fourth proportional to 6,283.13, 9,424.94 and 2,123.55 is: 3,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.13 : 9,424.94 = 2,123.55 : x
  2. Step 2: Convert to fraction form
    6,283.13/9,424.94 = 2,123.55/x
  3. Step 3: Cross multiply
    6,283.13x = 9,424.94 × 2,123.55
  4. Step 4: Simplify right side
    6,283.13x = 20,014,320.72
  5. Step 5: Solve for x
    x = 20,014,320.72/6,283.13
  6. Step 6: Final answer
    x = 3,185.41

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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.