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Finding the Fourth Proportional to 6,297.96, 9,451.80 and 4,352.88

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Solution

The fourth proportional to 6,297.96, 9,451.80 and 4,352.88 is: 6,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.96 : 9,451.80 = 4,352.88 : x
  2. Step 2: Convert to fraction form
    6,297.96/9,451.80 = 4,352.88/x
  3. Step 3: Cross multiply
    6,297.96x = 9,451.80 × 4,352.88
  4. Step 4: Simplify right side
    6,297.96x = 41,142,551.18
  5. Step 5: Solve for x
    x = 41,142,551.18/6,297.96
  6. Step 6: Final answer
    x = 6,532.68

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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.