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Finding the Fourth Proportional to 9,301.14, 12,837.39 and 5,765.94

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Solution

The fourth proportional to 9,301.14, 12,837.39 and 5,765.94 is: 7,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.14 : 12,837.39 = 5,765.94 : x
  2. Step 2: Convert to fraction form
    9,301.14/12,837.39 = 5,765.94/x
  3. Step 3: Cross multiply
    9,301.14x = 12,837.39 × 5,765.94
  4. Step 4: Simplify right side
    9,301.14x = 74,019,620.50
  5. Step 5: Solve for x
    x = 74,019,620.50/9,301.14
  6. Step 6: Final answer
    x = 7,958.12

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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.