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Finding the Fourth Proportional to 6,971.87, 9,621.19 and 3,785.17

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Solution

The fourth proportional to 6,971.87, 9,621.19 and 3,785.17 is: 5,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.87 : 9,621.19 = 3,785.17 : x
  2. Step 2: Convert to fraction form
    6,971.87/9,621.19 = 3,785.17/x
  3. Step 3: Cross multiply
    6,971.87x = 9,621.19 × 3,785.17
  4. Step 4: Simplify right side
    6,971.87x = 36,417,839.75
  5. Step 5: Solve for x
    x = 36,417,839.75/6,971.87
  6. Step 6: Final answer
    x = 5,223.54

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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.