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Finding the Fourth Proportional to 7,229.93, 9,976.81 and 4,085.91

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Solution

The fourth proportional to 7,229.93, 9,976.81 and 4,085.91 is: 5,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.93 : 9,976.81 = 4,085.91 : x
  2. Step 2: Convert to fraction form
    7,229.93/9,976.81 = 4,085.91/x
  3. Step 3: Cross multiply
    7,229.93x = 9,976.81 × 4,085.91
  4. Step 4: Simplify right side
    7,229.93x = 40,764,347.75
  5. Step 5: Solve for x
    x = 40,764,347.75/7,229.93
  6. Step 6: Final answer
    x = 5,638.28

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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.