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Finding the Fourth Proportional to 6,591.62, 9,887.16 and 2,208.74

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Solution

The fourth proportional to 6,591.62, 9,887.16 and 2,208.74 is: 3,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.62 : 9,887.16 = 2,208.74 : x
  2. Step 2: Convert to fraction form
    6,591.62/9,887.16 = 2,208.74/x
  3. Step 3: Cross multiply
    6,591.62x = 9,887.16 × 2,208.74
  4. Step 4: Simplify right side
    6,591.62x = 21,838,165.78
  5. Step 5: Solve for x
    x = 21,838,165.78/6,591.62
  6. Step 6: Final answer
    x = 3,313.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.