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Finding the Fourth Proportional to 9,322.05, 12,864.33 and 5,073.24

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Solution

The fourth proportional to 9,322.05, 12,864.33 and 5,073.24 is: 7,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.05 : 12,864.33 = 5,073.24 : x
  2. Step 2: Convert to fraction form
    9,322.05/12,864.33 = 5,073.24/x
  3. Step 3: Cross multiply
    9,322.05x = 12,864.33 × 5,073.24
  4. Step 4: Simplify right side
    9,322.05x = 65,263,833.53
  5. Step 5: Solve for x
    x = 65,263,833.53/9,322.05
  6. Step 6: Final answer
    x = 7,001.02

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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.