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Finding the Fourth Proportional to 6,713.60, 9,264 and 3,919.36

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Solution

The fourth proportional to 6,713.60, 9,264 and 3,919.36 is: 5,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.60 : 9,264 = 3,919.36 : x
  2. Step 2: Convert to fraction form
    6,713.60/9,264 = 3,919.36/x
  3. Step 3: Cross multiply
    6,713.60x = 9,264 × 3,919.36
  4. Step 4: Simplify right side
    6,713.60x = 36,308,951.04
  5. Step 5: Solve for x
    x = 36,308,951.04/6,713.60
  6. Step 6: Final answer
    x = 5,408.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.