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Finding the Fourth Proportional to 6,520.81, 9,777.03 and 4,297.05

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Solution

The fourth proportional to 6,520.81, 9,777.03 and 4,297.05 is: 6,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.81 : 9,777.03 = 4,297.05 : x
  2. Step 2: Convert to fraction form
    6,520.81/9,777.03 = 4,297.05/x
  3. Step 3: Cross multiply
    6,520.81x = 9,777.03 × 4,297.05
  4. Step 4: Simplify right side
    6,520.81x = 42,012,423.43
  5. Step 5: Solve for x
    x = 42,012,423.43/6,520.81
  6. Step 6: Final answer
    x = 6,442.83

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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.