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Finding the Fourth Proportional to 6,521.90, 9,771.67 and 4,380.75

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Solution

The fourth proportional to 6,521.90, 9,771.67 and 4,380.75 is: 6,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.90 : 9,771.67 = 4,380.75 : x
  2. Step 2: Convert to fraction form
    6,521.90/9,771.67 = 4,380.75/x
  3. Step 3: Cross multiply
    6,521.90x = 9,771.67 × 4,380.75
  4. Step 4: Simplify right side
    6,521.90x = 42,807,218.92
  5. Step 5: Solve for x
    x = 42,807,218.92/6,521.90
  6. Step 6: Final answer
    x = 6,563.61

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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.