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Finding the Fourth Proportional to 6,697.53, 9,242.69 and 3,672.94

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Solution

The fourth proportional to 6,697.53, 9,242.69 and 3,672.94 is: 5,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.53 : 9,242.69 = 3,672.94 : x
  2. Step 2: Convert to fraction form
    6,697.53/9,242.69 = 3,672.94/x
  3. Step 3: Cross multiply
    6,697.53x = 9,242.69 × 3,672.94
  4. Step 4: Simplify right side
    6,697.53x = 33,947,845.81
  5. Step 5: Solve for x
    x = 33,947,845.81/6,697.53
  6. Step 6: Final answer
    x = 5,068.71

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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.