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Finding the Fourth Proportional to 6,012.14, 8,297.19 and 3,460.68

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Solution

The fourth proportional to 6,012.14, 8,297.19 and 3,460.68 is: 4,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.14 : 8,297.19 = 3,460.68 : x
  2. Step 2: Convert to fraction form
    6,012.14/8,297.19 = 3,460.68/x
  3. Step 3: Cross multiply
    6,012.14x = 8,297.19 × 3,460.68
  4. Step 4: Simplify right side
    6,012.14x = 28,713,919.49
  5. Step 5: Solve for x
    x = 28,713,919.49/6,012.14
  6. Step 6: Final answer
    x = 4,775.99

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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.