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Finding the Fourth Proportional to 6,114.06, 9,154.67 and 3,186.21

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Solution

The fourth proportional to 6,114.06, 9,154.67 and 3,186.21 is: 4,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.06 : 9,154.67 = 3,186.21 : x
  2. Step 2: Convert to fraction form
    6,114.06/9,154.67 = 3,186.21/x
  3. Step 3: Cross multiply
    6,114.06x = 9,154.67 × 3,186.21
  4. Step 4: Simplify right side
    6,114.06x = 29,168,701.10
  5. Step 5: Solve for x
    x = 29,168,701.10/6,114.06
  6. Step 6: Final answer
    x = 4,770.76

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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.