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Finding the Fourth Proportional to 6,093.53, 9,137.71 and 2,395.17

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Solution

The fourth proportional to 6,093.53, 9,137.71 and 2,395.17 is: 3,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.53 : 9,137.71 = 2,395.17 : x
  2. Step 2: Convert to fraction form
    6,093.53/9,137.71 = 2,395.17/x
  3. Step 3: Cross multiply
    6,093.53x = 9,137.71 × 2,395.17
  4. Step 4: Simplify right side
    6,093.53x = 21,886,371.85
  5. Step 5: Solve for x
    x = 21,886,371.85/6,093.53
  6. Step 6: Final answer
    x = 3,591.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.