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Finding the Fourth Proportional to 7,187.27, 9,919.22 and 4,204.11

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Solution

The fourth proportional to 7,187.27, 9,919.22 and 4,204.11 is: 5,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.27 : 9,919.22 = 4,204.11 : x
  2. Step 2: Convert to fraction form
    7,187.27/9,919.22 = 4,204.11/x
  3. Step 3: Cross multiply
    7,187.27x = 9,919.22 × 4,204.11
  4. Step 4: Simplify right side
    7,187.27x = 41,701,470.97
  5. Step 5: Solve for x
    x = 41,701,470.97/7,187.27
  6. Step 6: Final answer
    x = 5,802.13

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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.