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Finding the Fourth Proportional to 9,240.64, 13,863.84 and 3,697

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Solution

The fourth proportional to 9,240.64, 13,863.84 and 3,697 is: 5,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.64 : 13,863.84 = 3,697 : x
  2. Step 2: Convert to fraction form
    9,240.64/13,863.84 = 3,697/x
  3. Step 3: Cross multiply
    9,240.64x = 13,863.84 × 3,697
  4. Step 4: Simplify right side
    9,240.64x = 51,254,616.48
  5. Step 5: Solve for x
    x = 51,254,616.48/9,240.64
  6. Step 6: Final answer
    x = 5,546.65

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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.