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Finding the Fourth Proportional to 9,321.94, 12,864.30 and 5,073

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Solution

The fourth proportional to 9,321.94, 12,864.30 and 5,073 is: 7,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.94 : 12,864.30 = 5,073 : x
  2. Step 2: Convert to fraction form
    9,321.94/12,864.30 = 5,073/x
  3. Step 3: Cross multiply
    9,321.94x = 12,864.30 × 5,073
  4. Step 4: Simplify right side
    9,321.94x = 65,260,593.90
  5. Step 5: Solve for x
    x = 65,260,593.90/9,321.94
  6. Step 6: Final answer
    x = 7,000.75

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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.