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Finding the Fourth Proportional to 9,406.19, 12,974.67 and 6,053.37

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Solution

The fourth proportional to 9,406.19, 12,974.67 and 6,053.37 is: 8,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.19 : 12,974.67 = 6,053.37 : x
  2. Step 2: Convert to fraction form
    9,406.19/12,974.67 = 6,053.37/x
  3. Step 3: Cross multiply
    9,406.19x = 12,974.67 × 6,053.37
  4. Step 4: Simplify right side
    9,406.19x = 78,540,478.14
  5. Step 5: Solve for x
    x = 78,540,478.14/9,406.19
  6. Step 6: Final answer
    x = 8,349.88

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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.