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Finding the Fourth Proportional to 6,909.76, 10,367.70 and 3,622.08

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Solution

The fourth proportional to 6,909.76, 10,367.70 and 3,622.08 is: 5,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.76 : 10,367.70 = 3,622.08 : x
  2. Step 2: Convert to fraction form
    6,909.76/10,367.70 = 3,622.08/x
  3. Step 3: Cross multiply
    6,909.76x = 10,367.70 × 3,622.08
  4. Step 4: Simplify right side
    6,909.76x = 37,552,638.82
  5. Step 5: Solve for x
    x = 37,552,638.82/6,909.76
  6. Step 6: Final answer
    x = 5,434.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.