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Finding the Fourth Proportional to 9,310.50, 13,965.89 and 2,290.52

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Solution

The fourth proportional to 9,310.50, 13,965.89 and 2,290.52 is: 3,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.50 : 13,965.89 = 2,290.52 : x
  2. Step 2: Convert to fraction form
    9,310.50/13,965.89 = 2,290.52/x
  3. Step 3: Cross multiply
    9,310.50x = 13,965.89 × 2,290.52
  4. Step 4: Simplify right side
    9,310.50x = 31,989,069.08
  5. Step 5: Solve for x
    x = 31,989,069.08/9,310.50
  6. Step 6: Final answer
    x = 3,435.81

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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.