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Finding the Fourth Proportional to 6,200.90, 9,256.74 and 5,313.86

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Solution

The fourth proportional to 6,200.90, 9,256.74 and 5,313.86 is: 7,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.90 : 9,256.74 = 5,313.86 : x
  2. Step 2: Convert to fraction form
    6,200.90/9,256.74 = 5,313.86/x
  3. Step 3: Cross multiply
    6,200.90x = 9,256.74 × 5,313.86
  4. Step 4: Simplify right side
    6,200.90x = 49,188,974.13
  5. Step 5: Solve for x
    x = 49,188,974.13/6,200.90
  6. Step 6: Final answer
    x = 7,932.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.