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Finding the Fourth Proportional to 6,592.40, 9,887.64 and 2,209.84

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Solution

The fourth proportional to 6,592.40, 9,887.64 and 2,209.84 is: 3,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.40 : 9,887.64 = 2,209.84 : x
  2. Step 2: Convert to fraction form
    6,592.40/9,887.64 = 2,209.84/x
  3. Step 3: Cross multiply
    6,592.40x = 9,887.64 × 2,209.84
  4. Step 4: Simplify right side
    6,592.40x = 21,850,102.38
  5. Step 5: Solve for x
    x = 21,850,102.38/6,592.40
  6. Step 6: Final answer
    x = 3,314.44

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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.