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Finding the Fourth Proportional to 6,286.19, 9,433.85 and 5,068.31

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Solution

The fourth proportional to 6,286.19, 9,433.85 and 5,068.31 is: 7,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.19 : 9,433.85 = 5,068.31 : x
  2. Step 2: Convert to fraction form
    6,286.19/9,433.85 = 5,068.31/x
  3. Step 3: Cross multiply
    6,286.19x = 9,433.85 × 5,068.31
  4. Step 4: Simplify right side
    6,286.19x = 47,813,603.78
  5. Step 5: Solve for x
    x = 47,813,603.78/6,286.19
  6. Step 6: Final answer
    x = 7,606.14

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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.