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Finding the Fourth Proportional to 6,186.40, 9,277.80 and 3,414.40

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Solution

The fourth proportional to 6,186.40, 9,277.80 and 3,414.40 is: 5,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.40 : 9,277.80 = 3,414.40 : x
  2. Step 2: Convert to fraction form
    6,186.40/9,277.80 = 3,414.40/x
  3. Step 3: Cross multiply
    6,186.40x = 9,277.80 × 3,414.40
  4. Step 4: Simplify right side
    6,186.40x = 31,678,120.32
  5. Step 5: Solve for x
    x = 31,678,120.32/6,186.40
  6. Step 6: Final answer
    x = 5,120.61

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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.