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Finding the Fourth Proportional to 9,460.29, 14,178.29 and 3,917.46

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Solution

The fourth proportional to 9,460.29, 14,178.29 and 3,917.46 is: 5,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.29 : 14,178.29 = 3,917.46 : x
  2. Step 2: Convert to fraction form
    9,460.29/14,178.29 = 3,917.46/x
  3. Step 3: Cross multiply
    9,460.29x = 14,178.29 × 3,917.46
  4. Step 4: Simplify right side
    9,460.29x = 55,542,939.56
  5. Step 5: Solve for x
    x = 55,542,939.56/9,460.29
  6. Step 6: Final answer
    x = 5,871.16

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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.