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Finding the Fourth Proportional to 7,018.22, 9,684.96 and 3,874.34

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Solution

The fourth proportional to 7,018.22, 9,684.96 and 3,874.34 is: 5,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.22 : 9,684.96 = 3,874.34 : x
  2. Step 2: Convert to fraction form
    7,018.22/9,684.96 = 3,874.34/x
  3. Step 3: Cross multiply
    7,018.22x = 9,684.96 × 3,874.34
  4. Step 4: Simplify right side
    7,018.22x = 37,522,827.93
  5. Step 5: Solve for x
    x = 37,522,827.93/7,018.22
  6. Step 6: Final answer
    x = 5,346.49

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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.