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Finding the Fourth Proportional to 6,935.43, 9,564.61 and 5,930.91

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Solution

The fourth proportional to 6,935.43, 9,564.61 and 5,930.91 is: 8,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.43 : 9,564.61 = 5,930.91 : x
  2. Step 2: Convert to fraction form
    6,935.43/9,564.61 = 5,930.91/x
  3. Step 3: Cross multiply
    6,935.43x = 9,564.61 × 5,930.91
  4. Step 4: Simplify right side
    6,935.43x = 56,726,841.10
  5. Step 5: Solve for x
    x = 56,726,841.10/6,935.43
  6. Step 6: Final answer
    x = 8,179.28

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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.