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Finding the Fourth Proportional to 9,824.01, 13,553.59 and 6,468.78

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Solution

The fourth proportional to 9,824.01, 13,553.59 and 6,468.78 is: 8,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.01 : 13,553.59 = 6,468.78 : x
  2. Step 2: Convert to fraction form
    9,824.01/13,553.59 = 6,468.78/x
  3. Step 3: Cross multiply
    9,824.01x = 13,553.59 × 6,468.78
  4. Step 4: Simplify right side
    9,824.01x = 87,675,191.92
  5. Step 5: Solve for x
    x = 87,675,191.92/9,824.01
  6. Step 6: Final answer
    x = 8,924.58

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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.