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Finding the Fourth Proportional to 6,594.84, 9,892.23 and 2,647.86

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Solution

The fourth proportional to 6,594.84, 9,892.23 and 2,647.86 is: 3,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.84 : 9,892.23 = 2,647.86 : x
  2. Step 2: Convert to fraction form
    6,594.84/9,892.23 = 2,647.86/x
  3. Step 3: Cross multiply
    6,594.84x = 9,892.23 × 2,647.86
  4. Step 4: Simplify right side
    6,594.84x = 26,193,240.13
  5. Step 5: Solve for x
    x = 26,193,240.13/6,594.84
  6. Step 6: Final answer
    x = 3,971.78

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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.