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Finding the Fourth Proportional to 6,986.32, 9,640.94 and 3,962.00

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Solution

The fourth proportional to 6,986.32, 9,640.94 and 3,962.00 is: 5,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.32 : 9,640.94 = 3,962.00 : x
  2. Step 2: Convert to fraction form
    6,986.32/9,640.94 = 3,962.00/x
  3. Step 3: Cross multiply
    6,986.32x = 9,640.94 × 3,962.00
  4. Step 4: Simplify right side
    6,986.32x = 38,197,336.27
  5. Step 5: Solve for x
    x = 38,197,336.27/6,986.32
  6. Step 6: Final answer
    x = 5,467.45

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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.