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Finding the Fourth Proportional to 6,935.69, 9,570.76 and 4,283.15

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Solution

The fourth proportional to 6,935.69, 9,570.76 and 4,283.15 is: 5,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.69 : 9,570.76 = 4,283.15 : x
  2. Step 2: Convert to fraction form
    6,935.69/9,570.76 = 4,283.15/x
  3. Step 3: Cross multiply
    6,935.69x = 9,570.76 × 4,283.15
  4. Step 4: Simplify right side
    6,935.69x = 40,992,942.13
  5. Step 5: Solve for x
    x = 40,992,942.13/6,935.69
  6. Step 6: Final answer
    x = 5,910.43

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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.