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Finding the Fourth Proportional to 6,736.32, 9,293.50 and 4,217.40

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Solution

The fourth proportional to 6,736.32, 9,293.50 and 4,217.40 is: 5,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.32 : 9,293.50 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    6,736.32/9,293.50 = 4,217.40/x
  3. Step 3: Cross multiply
    6,736.32x = 9,293.50 × 4,217.40
  4. Step 4: Simplify right side
    6,736.32x = 39,194,406.90
  5. Step 5: Solve for x
    x = 39,194,406.90/6,736.32
  6. Step 6: Final answer
    x = 5,818.37

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