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Finding the Fourth Proportional to 6,722.12, 9,276.76 and 3,697.37

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Solution

The fourth proportional to 6,722.12, 9,276.76 and 3,697.37 is: 5,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.12 : 9,276.76 = 3,697.37 : x
  2. Step 2: Convert to fraction form
    6,722.12/9,276.76 = 3,697.37/x
  3. Step 3: Cross multiply
    6,722.12x = 9,276.76 × 3,697.37
  4. Step 4: Simplify right side
    6,722.12x = 34,299,618.63
  5. Step 5: Solve for x
    x = 34,299,618.63/6,722.12
  6. Step 6: Final answer
    x = 5,102.50

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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.