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Finding the Fourth Proportional to 7,018.02, 9,684.72 and 3,874.14

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Solution

The fourth proportional to 7,018.02, 9,684.72 and 3,874.14 is: 5,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.02 : 9,684.72 = 3,874.14 : x
  2. Step 2: Convert to fraction form
    7,018.02/9,684.72 = 3,874.14/x
  3. Step 3: Cross multiply
    7,018.02x = 9,684.72 × 3,874.14
  4. Step 4: Simplify right side
    7,018.02x = 37,519,961.14
  5. Step 5: Solve for x
    x = 37,519,961.14/7,018.02
  6. Step 6: Final answer
    x = 5,346.23

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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.