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Finding the Fourth Proportional to 7,228.69, 9,976.41 and 4,085.08

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Solution

The fourth proportional to 7,228.69, 9,976.41 and 4,085.08 is: 5,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.69 : 9,976.41 = 4,085.08 : x
  2. Step 2: Convert to fraction form
    7,228.69/9,976.41 = 4,085.08/x
  3. Step 3: Cross multiply
    7,228.69x = 9,976.41 × 4,085.08
  4. Step 4: Simplify right side
    7,228.69x = 40,754,408.02
  5. Step 5: Solve for x
    x = 40,754,408.02/7,228.69
  6. Step 6: Final answer
    x = 5,637.87

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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.