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Finding the Fourth Proportional to 9,945.52, 13,724.04 and 5,752.96

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Solution

The fourth proportional to 9,945.52, 13,724.04 and 5,752.96 is: 7,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.52 : 13,724.04 = 5,752.96 : x
  2. Step 2: Convert to fraction form
    9,945.52/13,724.04 = 5,752.96/x
  3. Step 3: Cross multiply
    9,945.52x = 13,724.04 × 5,752.96
  4. Step 4: Simplify right side
    9,945.52x = 78,953,853.16
  5. Step 5: Solve for x
    x = 78,953,853.16/9,945.52
  6. Step 6: Final answer
    x = 7,938.63

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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.