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Finding the Fourth Proportional to 9,923.53, 13,695.75 and 5,730.97

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Solution

The fourth proportional to 9,923.53, 13,695.75 and 5,730.97 is: 7,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.53 : 13,695.75 = 5,730.97 : x
  2. Step 2: Convert to fraction form
    9,923.53/13,695.75 = 5,730.97/x
  3. Step 3: Cross multiply
    9,923.53x = 13,695.75 × 5,730.97
  4. Step 4: Simplify right side
    9,923.53x = 78,489,932.38
  5. Step 5: Solve for x
    x = 78,489,932.38/9,923.53
  6. Step 6: Final answer
    x = 7,909.48

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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.