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Finding the Fourth Proportional to 6,722.10, 9,276.71 and 3,738.06

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Solution

The fourth proportional to 6,722.10, 9,276.71 and 3,738.06 is: 5,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.10 : 9,276.71 = 3,738.06 : x
  2. Step 2: Convert to fraction form
    6,722.10/9,276.71 = 3,738.06/x
  3. Step 3: Cross multiply
    6,722.10x = 9,276.71 × 3,738.06
  4. Step 4: Simplify right side
    6,722.10x = 34,676,898.58
  5. Step 5: Solve for x
    x = 34,676,898.58/6,722.10
  6. Step 6: Final answer
    x = 5,158.64

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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.