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Finding the Fourth Proportional to 6,997.20, 9,655.82 and 3,810.50

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Solution

The fourth proportional to 6,997.20, 9,655.82 and 3,810.50 is: 5,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.20 : 9,655.82 = 3,810.50 : x
  2. Step 2: Convert to fraction form
    6,997.20/9,655.82 = 3,810.50/x
  3. Step 3: Cross multiply
    6,997.20x = 9,655.82 × 3,810.50
  4. Step 4: Simplify right side
    6,997.20x = 36,793,434.78
  5. Step 5: Solve for x
    x = 36,793,434.78/6,997.20
  6. Step 6: Final answer
    x = 5,258.31

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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.