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Finding the Fourth Proportional to 9,269.50, 13,904.32 and 2,344

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Solution

The fourth proportional to 9,269.50, 13,904.32 and 2,344 is: 3,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.50 : 13,904.32 = 2,344 : x
  2. Step 2: Convert to fraction form
    9,269.50/13,904.32 = 2,344/x
  3. Step 3: Cross multiply
    9,269.50x = 13,904.32 × 2,344
  4. Step 4: Simplify right side
    9,269.50x = 32,591,726.08
  5. Step 5: Solve for x
    x = 32,591,726.08/9,269.50
  6. Step 6: Final answer
    x = 3,516.02

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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.