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Finding the Fourth Proportional to 6,997.28, 9,655.88 and 3,852.88

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Solution

The fourth proportional to 6,997.28, 9,655.88 and 3,852.88 is: 5,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.28 : 9,655.88 = 3,852.88 : x
  2. Step 2: Convert to fraction form
    6,997.28/9,655.88 = 3,852.88/x
  3. Step 3: Cross multiply
    6,997.28x = 9,655.88 × 3,852.88
  4. Step 4: Simplify right side
    6,997.28x = 37,202,946.93
  5. Step 5: Solve for x
    x = 37,202,946.93/6,997.28
  6. Step 6: Final answer
    x = 5,316.77

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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.