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Finding the Fourth Proportional to 6,930.97, 9,564.18 and 4,243.69

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Solution

The fourth proportional to 6,930.97, 9,564.18 and 4,243.69 is: 5,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.97 : 9,564.18 = 4,243.69 : x
  2. Step 2: Convert to fraction form
    6,930.97/9,564.18 = 4,243.69/x
  3. Step 3: Cross multiply
    6,930.97x = 9,564.18 × 4,243.69
  4. Step 4: Simplify right side
    6,930.97x = 40,587,411.07
  5. Step 5: Solve for x
    x = 40,587,411.07/6,930.97
  6. Step 6: Final answer
    x = 5,855.95

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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.