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Finding the Fourth Proportional to 6,594.31, 9,892.38 and 2,213.02

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Solution

The fourth proportional to 6,594.31, 9,892.38 and 2,213.02 is: 3,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.31 : 9,892.38 = 2,213.02 : x
  2. Step 2: Convert to fraction form
    6,594.31/9,892.38 = 2,213.02/x
  3. Step 3: Cross multiply
    6,594.31x = 9,892.38 × 2,213.02
  4. Step 4: Simplify right side
    6,594.31x = 21,892,043.00
  5. Step 5: Solve for x
    x = 21,892,043.00/6,594.31
  6. Step 6: Final answer
    x = 3,319.84

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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.