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Finding the Fourth Proportional to 7,229.40, 9,976.32 and 4,085.36

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Solution

The fourth proportional to 7,229.40, 9,976.32 and 4,085.36 is: 5,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.40 : 9,976.32 = 4,085.36 : x
  2. Step 2: Convert to fraction form
    7,229.40/9,976.32 = 4,085.36/x
  3. Step 3: Cross multiply
    7,229.40x = 9,976.32 × 4,085.36
  4. Step 4: Simplify right side
    7,229.40x = 40,756,858.68
  5. Step 5: Solve for x
    x = 40,756,858.68/7,229.40
  6. Step 6: Final answer
    x = 5,637.65

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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.