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Finding the Fourth Proportional to 6,317, 9,468.27 and 3,544.94

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Solution

The fourth proportional to 6,317, 9,468.27 and 3,544.94 is: 5,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317 : 9,468.27 = 3,544.94 : x
  2. Step 2: Convert to fraction form
    6,317/9,468.27 = 3,544.94/x
  3. Step 3: Cross multiply
    6,317x = 9,468.27 × 3,544.94
  4. Step 4: Simplify right side
    6,317x = 33,564,449.05
  5. Step 5: Solve for x
    x = 33,564,449.05/6,317
  6. Step 6: Final answer
    x = 5,313.35

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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.