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Finding the Fourth Proportional to 7,117.44, 9,822.16 and 3,930.75

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Solution

The fourth proportional to 7,117.44, 9,822.16 and 3,930.75 is: 5,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.44 : 9,822.16 = 3,930.75 : x
  2. Step 2: Convert to fraction form
    7,117.44/9,822.16 = 3,930.75/x
  3. Step 3: Cross multiply
    7,117.44x = 9,822.16 × 3,930.75
  4. Step 4: Simplify right side
    7,117.44x = 38,608,460.33
  5. Step 5: Solve for x
    x = 38,608,460.33/7,117.44
  6. Step 6: Final answer
    x = 5,424.49

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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.