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Finding the Fourth Proportional to 6,377.72, 9,570.36 and 3,455.96

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Solution

The fourth proportional to 6,377.72, 9,570.36 and 3,455.96 is: 5,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.72 : 9,570.36 = 3,455.96 : x
  2. Step 2: Convert to fraction form
    6,377.72/9,570.36 = 3,455.96/x
  3. Step 3: Cross multiply
    6,377.72x = 9,570.36 × 3,455.96
  4. Step 4: Simplify right side
    6,377.72x = 33,074,781.35
  5. Step 5: Solve for x
    x = 33,074,781.35/6,377.72
  6. Step 6: Final answer
    x = 5,185.99

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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.