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Finding the Fourth Proportional to 6,966.29, 9,612.57 and 3,982.32

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Solution

The fourth proportional to 6,966.29, 9,612.57 and 3,982.32 is: 5,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.29 : 9,612.57 = 3,982.32 : x
  2. Step 2: Convert to fraction form
    6,966.29/9,612.57 = 3,982.32/x
  3. Step 3: Cross multiply
    6,966.29x = 9,612.57 × 3,982.32
  4. Step 4: Simplify right side
    6,966.29x = 38,280,329.76
  5. Step 5: Solve for x
    x = 38,280,329.76/6,966.29
  6. Step 6: Final answer
    x = 5,495.09

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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.