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Finding the Fourth Proportional to 6,968.92, 9,607.80 and 5,969.92

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Solution

The fourth proportional to 6,968.92, 9,607.80 and 5,969.92 is: 8,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.92 : 9,607.80 = 5,969.92 : x
  2. Step 2: Convert to fraction form
    6,968.92/9,607.80 = 5,969.92/x
  3. Step 3: Cross multiply
    6,968.92x = 9,607.80 × 5,969.92
  4. Step 4: Simplify right side
    6,968.92x = 57,357,797.38
  5. Step 5: Solve for x
    x = 57,357,797.38/6,968.92
  6. Step 6: Final answer
    x = 8,230.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.