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Finding the Fourth Proportional to 7,204.48, 9,942.94 and 4,222.81

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Solution

The fourth proportional to 7,204.48, 9,942.94 and 4,222.81 is: 5,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.48 : 9,942.94 = 4,222.81 : x
  2. Step 2: Convert to fraction form
    7,204.48/9,942.94 = 4,222.81/x
  3. Step 3: Cross multiply
    7,204.48x = 9,942.94 × 4,222.81
  4. Step 4: Simplify right side
    7,204.48x = 41,987,164.17
  5. Step 5: Solve for x
    x = 41,987,164.17/7,204.48
  6. Step 6: Final answer
    x = 5,827.93

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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.