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Finding the Fourth Proportional to 7,204.71, 9,942.03 and 4,219.86

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Solution

The fourth proportional to 7,204.71, 9,942.03 and 4,219.86 is: 5,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.71 : 9,942.03 = 4,219.86 : x
  2. Step 2: Convert to fraction form
    7,204.71/9,942.03 = 4,219.86/x
  3. Step 3: Cross multiply
    7,204.71x = 9,942.03 × 4,219.86
  4. Step 4: Simplify right side
    7,204.71x = 41,953,974.72
  5. Step 5: Solve for x
    x = 41,953,974.72/7,204.71
  6. Step 6: Final answer
    x = 5,823.13

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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.