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Finding the Fourth Proportional to 6,366.17, 9,537.95 and 2,660.25

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Solution

The fourth proportional to 6,366.17, 9,537.95 and 2,660.25 is: 3,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.17 : 9,537.95 = 2,660.25 : x
  2. Step 2: Convert to fraction form
    6,366.17/9,537.95 = 2,660.25/x
  3. Step 3: Cross multiply
    6,366.17x = 9,537.95 × 2,660.25
  4. Step 4: Simplify right side
    6,366.17x = 25,373,318.19
  5. Step 5: Solve for x
    x = 25,373,318.19/6,366.17
  6. Step 6: Final answer
    x = 3,985.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.