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Finding the Fourth Proportional to 10,694.29, 15,959 and 9,398.56

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Solution

The fourth proportional to 10,694.29, 15,959 and 9,398.56 is: 14,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.29 : 15,959 = 9,398.56 : x
  2. Step 2: Convert to fraction form
    10,694.29/15,959 = 9,398.56/x
  3. Step 3: Cross multiply
    10,694.29x = 15,959 × 9,398.56
  4. Step 4: Simplify right side
    10,694.29x = 149,991,619.04
  5. Step 5: Solve for x
    x = 149,991,619.04/10,694.29
  6. Step 6: Final answer
    x = 14,025.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.