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Finding the Fourth Proportional to 6,178.14, 9,264.18 and 3,057.13

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Solution

The fourth proportional to 6,178.14, 9,264.18 and 3,057.13 is: 4,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.14 : 9,264.18 = 3,057.13 : x
  2. Step 2: Convert to fraction form
    6,178.14/9,264.18 = 3,057.13/x
  3. Step 3: Cross multiply
    6,178.14x = 9,264.18 × 3,057.13
  4. Step 4: Simplify right side
    6,178.14x = 28,321,802.60
  5. Step 5: Solve for x
    x = 28,321,802.60/6,178.14
  6. Step 6: Final answer
    x = 4,584.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.