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Finding the Fourth Proportional to 6,370.76, 9,548.04 and 3,451.52

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Solution

The fourth proportional to 6,370.76, 9,548.04 and 3,451.52 is: 5,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.76 : 9,548.04 = 3,451.52 : x
  2. Step 2: Convert to fraction form
    6,370.76/9,548.04 = 3,451.52/x
  3. Step 3: Cross multiply
    6,370.76x = 9,548.04 × 3,451.52
  4. Step 4: Simplify right side
    6,370.76x = 32,955,251.02
  5. Step 5: Solve for x
    x = 32,955,251.02/6,370.76
  6. Step 6: Final answer
    x = 5,172.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.