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Finding the Fourth Proportional to 9,316.17, 12,857.43 and 5,338.56

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Solution

The fourth proportional to 9,316.17, 12,857.43 and 5,338.56 is: 7,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.17 : 12,857.43 = 5,338.56 : x
  2. Step 2: Convert to fraction form
    9,316.17/12,857.43 = 5,338.56/x
  3. Step 3: Cross multiply
    9,316.17x = 12,857.43 × 5,338.56
  4. Step 4: Simplify right side
    9,316.17x = 68,640,161.50
  5. Step 5: Solve for x
    x = 68,640,161.50/9,316.17
  6. Step 6: Final answer
    x = 7,367.85

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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.