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Finding the Fourth Proportional to 7,208.17, 9,949.77 and 4,224.97

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Solution

The fourth proportional to 7,208.17, 9,949.77 and 4,224.97 is: 5,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.17 : 9,949.77 = 4,224.97 : x
  2. Step 2: Convert to fraction form
    7,208.17/9,949.77 = 4,224.97/x
  3. Step 3: Cross multiply
    7,208.17x = 9,949.77 × 4,224.97
  4. Step 4: Simplify right side
    7,208.17x = 42,037,479.76
  5. Step 5: Solve for x
    x = 42,037,479.76/7,208.17
  6. Step 6: Final answer
    x = 5,831.92

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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.