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Finding the Fourth Proportional to 9,170.72, 13,714.03 and 6,832.32

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Solution

The fourth proportional to 9,170.72, 13,714.03 and 6,832.32 is: 10,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.72 : 13,714.03 = 6,832.32 : x
  2. Step 2: Convert to fraction form
    9,170.72/13,714.03 = 6,832.32/x
  3. Step 3: Cross multiply
    9,170.72x = 13,714.03 × 6,832.32
  4. Step 4: Simplify right side
    9,170.72x = 93,698,560.13
  5. Step 5: Solve for x
    x = 93,698,560.13/9,170.72
  6. Step 6: Final answer
    x = 10,217.14

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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.