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Finding the Fourth Proportional to 9,021.40, 12,448 and 5,042.54

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Solution

The fourth proportional to 9,021.40, 12,448 and 5,042.54 is: 6,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.40 : 12,448 = 5,042.54 : x
  2. Step 2: Convert to fraction form
    9,021.40/12,448 = 5,042.54/x
  3. Step 3: Cross multiply
    9,021.40x = 12,448 × 5,042.54
  4. Step 4: Simplify right side
    9,021.40x = 62,769,537.92
  5. Step 5: Solve for x
    x = 62,769,537.92/9,021.40
  6. Step 6: Final answer
    x = 6,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.