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Finding the Fourth Proportional to 9,924.39, 14,857.43 and 7,829.73

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Solution

The fourth proportional to 9,924.39, 14,857.43 and 7,829.73 is: 11,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.39 : 14,857.43 = 7,829.73 : x
  2. Step 2: Convert to fraction form
    9,924.39/14,857.43 = 7,829.73/x
  3. Step 3: Cross multiply
    9,924.39x = 14,857.43 × 7,829.73
  4. Step 4: Simplify right side
    9,924.39x = 116,329,626.25
  5. Step 5: Solve for x
    x = 116,329,626.25/9,924.39
  6. Step 6: Final answer
    x = 11,721.59

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