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Finding the Fourth Proportional to 6,191.37, 9,285.98 and 2,859.34

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Solution

The fourth proportional to 6,191.37, 9,285.98 and 2,859.34 is: 4,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.37 : 9,285.98 = 2,859.34 : x
  2. Step 2: Convert to fraction form
    6,191.37/9,285.98 = 2,859.34/x
  3. Step 3: Cross multiply
    6,191.37x = 9,285.98 × 2,859.34
  4. Step 4: Simplify right side
    6,191.37x = 26,551,774.05
  5. Step 5: Solve for x
    x = 26,551,774.05/6,191.37
  6. Step 6: Final answer
    x = 4,288.51

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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.