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Finding the Fourth Proportional to 9,322.09, 12,864.52 and 5,343.43

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Solution

The fourth proportional to 9,322.09, 12,864.52 and 5,343.43 is: 7,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.09 : 12,864.52 = 5,343.43 : x
  2. Step 2: Convert to fraction form
    9,322.09/12,864.52 = 5,343.43/x
  3. Step 3: Cross multiply
    9,322.09x = 12,864.52 × 5,343.43
  4. Step 4: Simplify right side
    9,322.09x = 68,740,662.10
  5. Step 5: Solve for x
    x = 68,740,662.10/9,322.09
  6. Step 6: Final answer
    x = 7,373.96

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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.