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Finding the Fourth Proportional to 6,980.26, 9,632.84 and 4,149.16

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Solution

The fourth proportional to 6,980.26, 9,632.84 and 4,149.16 is: 5,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.26 : 9,632.84 = 4,149.16 : x
  2. Step 2: Convert to fraction form
    6,980.26/9,632.84 = 4,149.16/x
  3. Step 3: Cross multiply
    6,980.26x = 9,632.84 × 4,149.16
  4. Step 4: Simplify right side
    6,980.26x = 39,968,194.41
  5. Step 5: Solve for x
    x = 39,968,194.41/6,980.26
  6. Step 6: Final answer
    x = 5,725.89

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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.