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Finding the Fourth Proportional to 9,728.60, 13,424.92 and 5,750.09

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Solution

The fourth proportional to 9,728.60, 13,424.92 and 5,750.09 is: 7,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.60 : 13,424.92 = 5,750.09 : x
  2. Step 2: Convert to fraction form
    9,728.60/13,424.92 = 5,750.09/x
  3. Step 3: Cross multiply
    9,728.60x = 13,424.92 × 5,750.09
  4. Step 4: Simplify right side
    9,728.60x = 77,194,402.37
  5. Step 5: Solve for x
    x = 77,194,402.37/9,728.60
  6. Step 6: Final answer
    x = 7,934.79

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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.