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Finding the Fourth Proportional to 9,452.58, 14,181.12 and 4,761.06

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Solution

The fourth proportional to 9,452.58, 14,181.12 and 4,761.06 is: 7,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.58 : 14,181.12 = 4,761.06 : x
  2. Step 2: Convert to fraction form
    9,452.58/14,181.12 = 4,761.06/x
  3. Step 3: Cross multiply
    9,452.58x = 14,181.12 × 4,761.06
  4. Step 4: Simplify right side
    9,452.58x = 67,517,163.19
  5. Step 5: Solve for x
    x = 67,517,163.19/9,452.58
  6. Step 6: Final answer
    x = 7,142.72

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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.