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Finding the Fourth Proportional to 9,129.87, 13,696.70 and 3,286.53

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Solution

The fourth proportional to 9,129.87, 13,696.70 and 3,286.53 is: 4,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.87 : 13,696.70 = 3,286.53 : x
  2. Step 2: Convert to fraction form
    9,129.87/13,696.70 = 3,286.53/x
  3. Step 3: Cross multiply
    9,129.87x = 13,696.70 × 3,286.53
  4. Step 4: Simplify right side
    9,129.87x = 45,014,599.02
  5. Step 5: Solve for x
    x = 45,014,599.02/9,129.87
  6. Step 6: Final answer
    x = 4,930.48

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Why These Related Problems?

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