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Finding the Fourth Proportional to 6,873.73, 10,321.86 and 6,523.13

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Solution

The fourth proportional to 6,873.73, 10,321.86 and 6,523.13 is: 9,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.73 : 10,321.86 = 6,523.13 : x
  2. Step 2: Convert to fraction form
    6,873.73/10,321.86 = 6,523.13/x
  3. Step 3: Cross multiply
    6,873.73x = 10,321.86 × 6,523.13
  4. Step 4: Simplify right side
    6,873.73x = 67,330,884.89
  5. Step 5: Solve for x
    x = 67,330,884.89/6,873.73
  6. Step 6: Final answer
    x = 9,795.40

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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.