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Finding the Fourth Proportional to 9,321.68, 12,861.02 and 5,287.84

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Solution

The fourth proportional to 9,321.68, 12,861.02 and 5,287.84 is: 7,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.68 : 12,861.02 = 5,287.84 : x
  2. Step 2: Convert to fraction form
    9,321.68/12,861.02 = 5,287.84/x
  3. Step 3: Cross multiply
    9,321.68x = 12,861.02 × 5,287.84
  4. Step 4: Simplify right side
    9,321.68x = 68,007,061.37
  5. Step 5: Solve for x
    x = 68,007,061.37/9,321.68
  6. Step 6: Final answer
    x = 7,295.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.