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Finding the Fourth Proportional to 6,414.49, 9,623.76 and 2,032.12

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Solution

The fourth proportional to 6,414.49, 9,623.76 and 2,032.12 is: 3,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.49 : 9,623.76 = 2,032.12 : x
  2. Step 2: Convert to fraction form
    6,414.49/9,623.76 = 2,032.12/x
  3. Step 3: Cross multiply
    6,414.49x = 9,623.76 × 2,032.12
  4. Step 4: Simplify right side
    6,414.49x = 19,556,635.17
  5. Step 5: Solve for x
    x = 19,556,635.17/6,414.49
  6. Step 6: Final answer
    x = 3,048.82

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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.