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Finding the Fourth Proportional to 9,269.71, 13,906.79 and 2,695.95

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Solution

The fourth proportional to 9,269.71, 13,906.79 and 2,695.95 is: 4,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.71 : 13,906.79 = 2,695.95 : x
  2. Step 2: Convert to fraction form
    9,269.71/13,906.79 = 2,695.95/x
  3. Step 3: Cross multiply
    9,269.71x = 13,906.79 × 2,695.95
  4. Step 4: Simplify right side
    9,269.71x = 37,492,007.13
  5. Step 5: Solve for x
    x = 37,492,007.13/9,269.71
  6. Step 6: Final answer
    x = 4,044.57

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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.