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Finding the Fourth Proportional to 9,316.38, 12,856.77 and 5,067.53

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Solution

The fourth proportional to 9,316.38, 12,856.77 and 5,067.53 is: 6,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.38 : 12,856.77 = 5,067.53 : x
  2. Step 2: Convert to fraction form
    9,316.38/12,856.77 = 5,067.53/x
  3. Step 3: Cross multiply
    9,316.38x = 12,856.77 × 5,067.53
  4. Step 4: Simplify right side
    9,316.38x = 65,152,042.34
  5. Step 5: Solve for x
    x = 65,152,042.34/9,316.38
  6. Step 6: Final answer
    x = 6,993.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.