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Finding the Fourth Proportional to 9,923.32, 14,881.29 and 5,764.42

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Solution

The fourth proportional to 9,923.32, 14,881.29 and 5,764.42 is: 8,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.32 : 14,881.29 = 5,764.42 : x
  2. Step 2: Convert to fraction form
    9,923.32/14,881.29 = 5,764.42/x
  3. Step 3: Cross multiply
    9,923.32x = 14,881.29 × 5,764.42
  4. Step 4: Simplify right side
    9,923.32x = 85,782,005.70
  5. Step 5: Solve for x
    x = 85,782,005.70/9,923.32
  6. Step 6: Final answer
    x = 8,644.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.