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Finding the Fourth Proportional to 9,512.46, 14,268.15 and 5,063.22

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Solution

The fourth proportional to 9,512.46, 14,268.15 and 5,063.22 is: 7,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.46 : 14,268.15 = 5,063.22 : x
  2. Step 2: Convert to fraction form
    9,512.46/14,268.15 = 5,063.22/x
  3. Step 3: Cross multiply
    9,512.46x = 14,268.15 × 5,063.22
  4. Step 4: Simplify right side
    9,512.46x = 72,242,782.44
  5. Step 5: Solve for x
    x = 72,242,782.44/9,512.46
  6. Step 6: Final answer
    x = 7,594.54

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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.