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Finding the Fourth Proportional to 6,697.50, 9,242.35 and 3,672.56

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Solution

The fourth proportional to 6,697.50, 9,242.35 and 3,672.56 is: 5,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.50 : 9,242.35 = 3,672.56 : x
  2. Step 2: Convert to fraction form
    6,697.50/9,242.35 = 3,672.56/x
  3. Step 3: Cross multiply
    6,697.50x = 9,242.35 × 3,672.56
  4. Step 4: Simplify right side
    6,697.50x = 33,943,084.92
  5. Step 5: Solve for x
    x = 33,943,084.92/6,697.50
  6. Step 6: Final answer
    x = 5,068.02

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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.