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Finding the Fourth Proportional to 6,313.87, 8,712.12 and 3,795.38

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Solution

The fourth proportional to 6,313.87, 8,712.12 and 3,795.38 is: 5,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.87 : 8,712.12 = 3,795.38 : x
  2. Step 2: Convert to fraction form
    6,313.87/8,712.12 = 3,795.38/x
  3. Step 3: Cross multiply
    6,313.87x = 8,712.12 × 3,795.38
  4. Step 4: Simplify right side
    6,313.87x = 33,065,809.35
  5. Step 5: Solve for x
    x = 33,065,809.35/6,313.87
  6. Step 6: Final answer
    x = 5,237.01

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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.