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Finding the Fourth Proportional to 6,297.27, 9,445.86 and 1,617.27

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Solution

The fourth proportional to 6,297.27, 9,445.86 and 1,617.27 is: 2,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.27 : 9,445.86 = 1,617.27 : x
  2. Step 2: Convert to fraction form
    6,297.27/9,445.86 = 1,617.27/x
  3. Step 3: Cross multiply
    6,297.27x = 9,445.86 × 1,617.27
  4. Step 4: Simplify right side
    6,297.27x = 15,276,506.00
  5. Step 5: Solve for x
    x = 15,276,506.00/6,297.27
  6. Step 6: Final answer
    x = 2,425.89

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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.