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Finding the Fourth Proportional to 7,117.57, 9,822.39 and 3,930.85

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Solution

The fourth proportional to 7,117.57, 9,822.39 and 3,930.85 is: 5,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.57 : 9,822.39 = 3,930.85 : x
  2. Step 2: Convert to fraction form
    7,117.57/9,822.39 = 3,930.85/x
  3. Step 3: Cross multiply
    7,117.57x = 9,822.39 × 3,930.85
  4. Step 4: Simplify right side
    7,117.57x = 38,610,339.27
  5. Step 5: Solve for x
    x = 38,610,339.27/7,117.57
  6. Step 6: Final answer
    x = 5,424.65

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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.