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Finding the Fourth Proportional to 6,186.20, 9,287.22 and 5,314.28

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Solution

The fourth proportional to 6,186.20, 9,287.22 and 5,314.28 is: 7,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.20 : 9,287.22 = 5,314.28 : x
  2. Step 2: Convert to fraction form
    6,186.20/9,287.22 = 5,314.28/x
  3. Step 3: Cross multiply
    6,186.20x = 9,287.22 × 5,314.28
  4. Step 4: Simplify right side
    6,186.20x = 49,354,887.50
  5. Step 5: Solve for x
    x = 49,354,887.50/6,186.20
  6. Step 6: Final answer
    x = 7,978.22

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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.