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Finding the Fourth Proportional to 9,512.60, 14,272.54 and 3,669.26

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Solution

The fourth proportional to 9,512.60, 14,272.54 and 3,669.26 is: 5,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.60 : 14,272.54 = 3,669.26 : x
  2. Step 2: Convert to fraction form
    9,512.60/14,272.54 = 3,669.26/x
  3. Step 3: Cross multiply
    9,512.60x = 14,272.54 × 3,669.26
  4. Step 4: Simplify right side
    9,512.60x = 52,369,660.12
  5. Step 5: Solve for x
    x = 52,369,660.12/9,512.60
  6. Step 6: Final answer
    x = 5,505.29

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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.