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Finding the Fourth Proportional to 9,316.34, 12,856.37 and 5,067.33

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Solution

The fourth proportional to 9,316.34, 12,856.37 and 5,067.33 is: 6,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.34 : 12,856.37 = 5,067.33 : x
  2. Step 2: Convert to fraction form
    9,316.34/12,856.37 = 5,067.33/x
  3. Step 3: Cross multiply
    9,316.34x = 12,856.37 × 5,067.33
  4. Step 4: Simplify right side
    9,316.34x = 65,147,444.06
  5. Step 5: Solve for x
    x = 65,147,444.06/9,316.34
  6. Step 6: Final answer
    x = 6,992.82

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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.