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Finding the Fourth Proportional to 9,714.37, 14,572.86 and 3,138.97

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Solution

The fourth proportional to 9,714.37, 14,572.86 and 3,138.97 is: 4,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.37 : 14,572.86 = 3,138.97 : x
  2. Step 2: Convert to fraction form
    9,714.37/14,572.86 = 3,138.97/x
  3. Step 3: Cross multiply
    9,714.37x = 14,572.86 × 3,138.97
  4. Step 4: Simplify right side
    9,714.37x = 45,743,770.35
  5. Step 5: Solve for x
    x = 45,743,770.35/9,714.37
  6. Step 6: Final answer
    x = 4,708.88

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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.