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Finding the Fourth Proportional to 9,268.92, 13,905.56 and 2,695.24

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Solution

The fourth proportional to 9,268.92, 13,905.56 and 2,695.24 is: 4,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.92 : 13,905.56 = 2,695.24 : x
  2. Step 2: Convert to fraction form
    9,268.92/13,905.56 = 2,695.24/x
  3. Step 3: Cross multiply
    9,268.92x = 13,905.56 × 2,695.24
  4. Step 4: Simplify right side
    9,268.92x = 37,478,821.53
  5. Step 5: Solve for x
    x = 37,478,821.53/9,268.92
  6. Step 6: Final answer
    x = 4,043.49

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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.