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Finding the Fourth Proportional to 6,661.47, 9,193.95 and 6,366.23

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Solution

The fourth proportional to 6,661.47, 9,193.95 and 6,366.23 is: 8,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.47 : 9,193.95 = 6,366.23 : x
  2. Step 2: Convert to fraction form
    6,661.47/9,193.95 = 6,366.23/x
  3. Step 3: Cross multiply
    6,661.47x = 9,193.95 × 6,366.23
  4. Step 4: Simplify right side
    6,661.47x = 58,530,800.31
  5. Step 5: Solve for x
    x = 58,530,800.31/6,661.47
  6. Step 6: Final answer
    x = 8,786.47

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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.