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Finding the Fourth Proportional to 6,997.72, 9,656.98 and 3,811.11

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Solution

The fourth proportional to 6,997.72, 9,656.98 and 3,811.11 is: 5,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.72 : 9,656.98 = 3,811.11 : x
  2. Step 2: Convert to fraction form
    6,997.72/9,656.98 = 3,811.11/x
  3. Step 3: Cross multiply
    6,997.72x = 9,656.98 × 3,811.11
  4. Step 4: Simplify right side
    6,997.72x = 36,803,813.05
  5. Step 5: Solve for x
    x = 36,803,813.05/6,997.72
  6. Step 6: Final answer
    x = 5,259.40

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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.