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Finding the Fourth Proportional to 6,817.10, 9,407.86 and 3,832.92

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Solution

The fourth proportional to 6,817.10, 9,407.86 and 3,832.92 is: 5,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.10 : 9,407.86 = 3,832.92 : x
  2. Step 2: Convert to fraction form
    6,817.10/9,407.86 = 3,832.92/x
  3. Step 3: Cross multiply
    6,817.10x = 9,407.86 × 3,832.92
  4. Step 4: Simplify right side
    6,817.10x = 36,059,565.17
  5. Step 5: Solve for x
    x = 36,059,565.17/6,817.10
  6. Step 6: Final answer
    x = 5,289.58

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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.