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Finding the Fourth Proportional to 6,523.41, 9,790.32 and 2,364.62

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Solution

The fourth proportional to 6,523.41, 9,790.32 and 2,364.62 is: 3,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.41 : 9,790.32 = 2,364.62 : x
  2. Step 2: Convert to fraction form
    6,523.41/9,790.32 = 2,364.62/x
  3. Step 3: Cross multiply
    6,523.41x = 9,790.32 × 2,364.62
  4. Step 4: Simplify right side
    6,523.41x = 23,150,337.53
  5. Step 5: Solve for x
    x = 23,150,337.53/6,523.41
  6. Step 6: Final answer
    x = 3,548.81

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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.