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Finding the Fourth Proportional to 9,321.84, 12,863.61 and 5,343.12

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Solution

The fourth proportional to 9,321.84, 12,863.61 and 5,343.12 is: 7,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.84 : 12,863.61 = 5,343.12 : x
  2. Step 2: Convert to fraction form
    9,321.84/12,863.61 = 5,343.12/x
  3. Step 3: Cross multiply
    9,321.84x = 12,863.61 × 5,343.12
  4. Step 4: Simplify right side
    9,321.84x = 68,731,811.86
  5. Step 5: Solve for x
    x = 68,731,811.86/9,321.84
  6. Step 6: Final answer
    x = 7,373.20

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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.