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Finding the Fourth Proportional to 6,365.30, 9,551.43 and 2,469.86

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Solution

The fourth proportional to 6,365.30, 9,551.43 and 2,469.86 is: 3,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.30 : 9,551.43 = 2,469.86 : x
  2. Step 2: Convert to fraction form
    6,365.30/9,551.43 = 2,469.86/x
  3. Step 3: Cross multiply
    6,365.30x = 9,551.43 × 2,469.86
  4. Step 4: Simplify right side
    6,365.30x = 23,590,694.90
  5. Step 5: Solve for x
    x = 23,590,694.90/6,365.30
  6. Step 6: Final answer
    x = 3,706.14

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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.