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Finding the Fourth Proportional to 6,909.72, 10,367.10 and 3,215.40

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Solution

The fourth proportional to 6,909.72, 10,367.10 and 3,215.40 is: 4,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.72 : 10,367.10 = 3,215.40 : x
  2. Step 2: Convert to fraction form
    6,909.72/10,367.10 = 3,215.40/x
  3. Step 3: Cross multiply
    6,909.72x = 10,367.10 × 3,215.40
  4. Step 4: Simplify right side
    6,909.72x = 33,334,373.34
  5. Step 5: Solve for x
    x = 33,334,373.34/6,909.72
  6. Step 6: Final answer
    x = 4,824.27

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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.