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Finding the Fourth Proportional to 9,923.40, 13,691.49 and 6,388.66

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Solution

The fourth proportional to 9,923.40, 13,691.49 and 6,388.66 is: 8,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.40 : 13,691.49 = 6,388.66 : x
  2. Step 2: Convert to fraction form
    9,923.40/13,691.49 = 6,388.66/x
  3. Step 3: Cross multiply
    9,923.40x = 13,691.49 × 6,388.66
  4. Step 4: Simplify right side
    9,923.40x = 87,470,274.50
  5. Step 5: Solve for x
    x = 87,470,274.50/9,923.40
  6. Step 6: Final answer
    x = 8,814.55

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