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Finding the Fourth Proportional to 7,018.56, 9,685.68 and 3,874.84

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Solution

The fourth proportional to 7,018.56, 9,685.68 and 3,874.84 is: 5,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.56 : 9,685.68 = 3,874.84 : x
  2. Step 2: Convert to fraction form
    7,018.56/9,685.68 = 3,874.84/x
  3. Step 3: Cross multiply
    7,018.56x = 9,685.68 × 3,874.84
  4. Step 4: Simplify right side
    7,018.56x = 37,530,460.29
  5. Step 5: Solve for x
    x = 37,530,460.29/7,018.56
  6. Step 6: Final answer
    x = 5,347.32

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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.