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Finding the Fourth Proportional to 9,137.27, 13,706.01 and 3,293.93

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Solution

The fourth proportional to 9,137.27, 13,706.01 and 3,293.93 is: 4,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.27 : 13,706.01 = 3,293.93 : x
  2. Step 2: Convert to fraction form
    9,137.27/13,706.01 = 3,293.93/x
  3. Step 3: Cross multiply
    9,137.27x = 13,706.01 × 3,293.93
  4. Step 4: Simplify right side
    9,137.27x = 45,146,671.78
  5. Step 5: Solve for x
    x = 45,146,671.78/9,137.27
  6. Step 6: Final answer
    x = 4,940.94

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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.