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Finding the Fourth Proportional to 9,514.56, 14,278.34 and 3,358.56

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Solution

The fourth proportional to 9,514.56, 14,278.34 and 3,358.56 is: 5,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.56 : 14,278.34 = 3,358.56 : x
  2. Step 2: Convert to fraction form
    9,514.56/14,278.34 = 3,358.56/x
  3. Step 3: Cross multiply
    9,514.56x = 14,278.34 × 3,358.56
  4. Step 4: Simplify right side
    9,514.56x = 47,954,661.59
  5. Step 5: Solve for x
    x = 47,954,661.59/9,514.56
  6. Step 6: Final answer
    x = 5,040.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.