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Finding the Fourth Proportional to 9,356.28, 12,906.72 and 6,834.48

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Solution

The fourth proportional to 9,356.28, 12,906.72 and 6,834.48 is: 9,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.28 : 12,906.72 = 6,834.48 : x
  2. Step 2: Convert to fraction form
    9,356.28/12,906.72 = 6,834.48/x
  3. Step 3: Cross multiply
    9,356.28x = 12,906.72 × 6,834.48
  4. Step 4: Simplify right side
    9,356.28x = 88,210,719.71
  5. Step 5: Solve for x
    x = 88,210,719.71/9,356.28
  6. Step 6: Final answer
    x = 9,427.97

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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.