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Finding the Fourth Proportional to 6,297.48, 9,445.46 and 2,599.25

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Solution

The fourth proportional to 6,297.48, 9,445.46 and 2,599.25 is: 3,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.48 : 9,445.46 = 2,599.25 : x
  2. Step 2: Convert to fraction form
    6,297.48/9,445.46 = 2,599.25/x
  3. Step 3: Cross multiply
    6,297.48x = 9,445.46 × 2,599.25
  4. Step 4: Simplify right side
    6,297.48x = 24,551,051.68
  5. Step 5: Solve for x
    x = 24,551,051.68/6,297.48
  6. Step 6: Final answer
    x = 3,898.55

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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.