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Finding the Fourth Proportional to 9,383.52, 14,077.20 and 3,142.80

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Solution

The fourth proportional to 9,383.52, 14,077.20 and 3,142.80 is: 4,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.52 : 14,077.20 = 3,142.80 : x
  2. Step 2: Convert to fraction form
    9,383.52/14,077.20 = 3,142.80/x
  3. Step 3: Cross multiply
    9,383.52x = 14,077.20 × 3,142.80
  4. Step 4: Simplify right side
    9,383.52x = 44,241,824.16
  5. Step 5: Solve for x
    x = 44,241,824.16/9,383.52
  6. Step 6: Final answer
    x = 4,714.84

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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.