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Finding the Fourth Proportional to 6,732.83, 9,290.58 and 3,748.43

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Solution

The fourth proportional to 6,732.83, 9,290.58 and 3,748.43 is: 5,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.83 : 9,290.58 = 3,748.43 : x
  2. Step 2: Convert to fraction form
    6,732.83/9,290.58 = 3,748.43/x
  3. Step 3: Cross multiply
    6,732.83x = 9,290.58 × 3,748.43
  4. Step 4: Simplify right side
    6,732.83x = 34,825,070.05
  5. Step 5: Solve for x
    x = 34,825,070.05/6,732.83
  6. Step 6: Final answer
    x = 5,172.43

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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.