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Finding the Fourth Proportional to 7,229.02, 9,976.08 and 4,085.23

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Solution

The fourth proportional to 7,229.02, 9,976.08 and 4,085.23 is: 5,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.02 : 9,976.08 = 4,085.23 : x
  2. Step 2: Convert to fraction form
    7,229.02/9,976.08 = 4,085.23/x
  3. Step 3: Cross multiply
    7,229.02x = 9,976.08 × 4,085.23
  4. Step 4: Simplify right side
    7,229.02x = 40,754,581.30
  5. Step 5: Solve for x
    x = 40,754,581.30/7,229.02
  6. Step 6: Final answer
    x = 5,637.64

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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.