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Finding the Fourth Proportional to 9,301.57, 12,837.09 and 5,323.39

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Solution

The fourth proportional to 9,301.57, 12,837.09 and 5,323.39 is: 7,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.57 : 12,837.09 = 5,323.39 : x
  2. Step 2: Convert to fraction form
    9,301.57/12,837.09 = 5,323.39/x
  3. Step 3: Cross multiply
    9,301.57x = 12,837.09 × 5,323.39
  4. Step 4: Simplify right side
    9,301.57x = 68,336,836.54
  5. Step 5: Solve for x
    x = 68,336,836.54/9,301.57
  6. Step 6: Final answer
    x = 7,346.81

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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.