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Finding the Fourth Proportional to 6,314.22, 8,715.18 and 4,300.96

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Solution

The fourth proportional to 6,314.22, 8,715.18 and 4,300.96 is: 5,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.22 : 8,715.18 = 4,300.96 : x
  2. Step 2: Convert to fraction form
    6,314.22/8,715.18 = 4,300.96/x
  3. Step 3: Cross multiply
    6,314.22x = 8,715.18 × 4,300.96
  4. Step 4: Simplify right side
    6,314.22x = 37,483,640.57
  5. Step 5: Solve for x
    x = 37,483,640.57/6,314.22
  6. Step 6: Final answer
    x = 5,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.