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Finding the Fourth Proportional to 9,673.75, 13,344.83 and 6,318.52

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Solution

The fourth proportional to 9,673.75, 13,344.83 and 6,318.52 is: 8,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.75 : 13,344.83 = 6,318.52 : x
  2. Step 2: Convert to fraction form
    9,673.75/13,344.83 = 6,318.52/x
  3. Step 3: Cross multiply
    9,673.75x = 13,344.83 × 6,318.52
  4. Step 4: Simplify right side
    9,673.75x = 84,319,644.60
  5. Step 5: Solve for x
    x = 84,319,644.60/9,673.75
  6. Step 6: Final answer
    x = 8,716.34

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