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Finding the Fourth Proportional to 6,969.20, 9,615.14 and 3,982.92

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Solution

The fourth proportional to 6,969.20, 9,615.14 and 3,982.92 is: 5,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.20 : 9,615.14 = 3,982.92 : x
  2. Step 2: Convert to fraction form
    6,969.20/9,615.14 = 3,982.92/x
  3. Step 3: Cross multiply
    6,969.20x = 9,615.14 × 3,982.92
  4. Step 4: Simplify right side
    6,969.20x = 38,296,333.41
  5. Step 5: Solve for x
    x = 38,296,333.41/6,969.20
  6. Step 6: Final answer
    x = 5,495.08

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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.