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Finding the Fourth Proportional to 6,754.15, 9,321.57 and 4,100.86

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Solution

The fourth proportional to 6,754.15, 9,321.57 and 4,100.86 is: 5,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.15 : 9,321.57 = 4,100.86 : x
  2. Step 2: Convert to fraction form
    6,754.15/9,321.57 = 4,100.86/x
  3. Step 3: Cross multiply
    6,754.15x = 9,321.57 × 4,100.86
  4. Step 4: Simplify right side
    6,754.15x = 38,226,386.44
  5. Step 5: Solve for x
    x = 38,226,386.44/6,754.15
  6. Step 6: Final answer
    x = 5,659.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.