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Finding the Fourth Proportional to 7,109.48, 9,810.63 and 3,922.82

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Solution

The fourth proportional to 7,109.48, 9,810.63 and 3,922.82 is: 5,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.48 : 9,810.63 = 3,922.82 : x
  2. Step 2: Convert to fraction form
    7,109.48/9,810.63 = 3,922.82/x
  3. Step 3: Cross multiply
    7,109.48x = 9,810.63 × 3,922.82
  4. Step 4: Simplify right side
    7,109.48x = 38,485,286.52
  5. Step 5: Solve for x
    x = 38,485,286.52/7,109.48
  6. Step 6: Final answer
    x = 5,413.24

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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.