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Finding the Fourth Proportional to 9,196.74, 12,689.58 and 6,014.70

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Solution

The fourth proportional to 9,196.74, 12,689.58 and 6,014.70 is: 8,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.74 : 12,689.58 = 6,014.70 : x
  2. Step 2: Convert to fraction form
    9,196.74/12,689.58 = 6,014.70/x
  3. Step 3: Cross multiply
    9,196.74x = 12,689.58 × 6,014.70
  4. Step 4: Simplify right side
    9,196.74x = 76,324,016.83
  5. Step 5: Solve for x
    x = 76,324,016.83/9,196.74
  6. Step 6: Final answer
    x = 8,299.03

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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.