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Finding the Fourth Proportional to 6,187.34, 9,284.28 and 3,378.20

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Solution

The fourth proportional to 6,187.34, 9,284.28 and 3,378.20 is: 5,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.34 : 9,284.28 = 3,378.20 : x
  2. Step 2: Convert to fraction form
    6,187.34/9,284.28 = 3,378.20/x
  3. Step 3: Cross multiply
    6,187.34x = 9,284.28 × 3,378.20
  4. Step 4: Simplify right side
    6,187.34x = 31,364,154.70
  5. Step 5: Solve for x
    x = 31,364,154.70/6,187.34
  6. Step 6: Final answer
    x = 5,069.09

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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.