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Finding the Fourth Proportional to 9,971.40, 13,751.46 and 7,982.04

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Solution

The fourth proportional to 9,971.40, 13,751.46 and 7,982.04 is: 11,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.40 : 13,751.46 = 7,982.04 : x
  2. Step 2: Convert to fraction form
    9,971.40/13,751.46 = 7,982.04/x
  3. Step 3: Cross multiply
    9,971.40x = 13,751.46 × 7,982.04
  4. Step 4: Simplify right side
    9,971.40x = 109,764,703.78
  5. Step 5: Solve for x
    x = 109,764,703.78/9,971.40
  6. Step 6: Final answer
    x = 11,007.95

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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.