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Finding the Fourth Proportional to 6,971.85, 9,621.09 and 3,828.09

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Solution

The fourth proportional to 6,971.85, 9,621.09 and 3,828.09 is: 5,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.85 : 9,621.09 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    6,971.85/9,621.09 = 3,828.09/x
  3. Step 3: Cross multiply
    6,971.85x = 9,621.09 × 3,828.09
  4. Step 4: Simplify right side
    6,971.85x = 36,830,398.42
  5. Step 5: Solve for x
    x = 36,830,398.42/6,971.85
  6. Step 6: Final answer
    x = 5,282.73

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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.