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Finding the Fourth Proportional to 6,971.88, 9,621.27 and 3,785.21

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Solution

The fourth proportional to 6,971.88, 9,621.27 and 3,785.21 is: 5,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.88 : 9,621.27 = 3,785.21 : x
  2. Step 2: Convert to fraction form
    6,971.88/9,621.27 = 3,785.21/x
  3. Step 3: Cross multiply
    6,971.88x = 9,621.27 × 3,785.21
  4. Step 4: Simplify right side
    6,971.88x = 36,418,479.31
  5. Step 5: Solve for x
    x = 36,418,479.31/6,971.88
  6. Step 6: Final answer
    x = 5,223.62

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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.