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Finding the Fourth Proportional to 9,308.96, 13,963.20 and 2,288.96

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Solution

The fourth proportional to 9,308.96, 13,963.20 and 2,288.96 is: 3,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.96 : 13,963.20 = 2,288.96 : x
  2. Step 2: Convert to fraction form
    9,308.96/13,963.20 = 2,288.96/x
  3. Step 3: Cross multiply
    9,308.96x = 13,963.20 × 2,288.96
  4. Step 4: Simplify right side
    9,308.96x = 31,961,206.27
  5. Step 5: Solve for x
    x = 31,961,206.27/9,308.96
  6. Step 6: Final answer
    x = 3,433.38

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1.5x scale

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.