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Finding the Fourth Proportional to 6,188.10, 9,283.50 and 3,069.81

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Solution

The fourth proportional to 6,188.10, 9,283.50 and 3,069.81 is: 4,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.10 : 9,283.50 = 3,069.81 : x
  2. Step 2: Convert to fraction form
    6,188.10/9,283.50 = 3,069.81/x
  3. Step 3: Cross multiply
    6,188.10x = 9,283.50 × 3,069.81
  4. Step 4: Simplify right side
    6,188.10x = 28,498,581.14
  5. Step 5: Solve for x
    x = 28,498,581.14/6,188.10
  6. Step 6: Final answer
    x = 4,605.38

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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.