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Finding the Fourth Proportional to 6,345.67, 8,761.34 and 3,956.60

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Solution

The fourth proportional to 6,345.67, 8,761.34 and 3,956.60 is: 5,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.67 : 8,761.34 = 3,956.60 : x
  2. Step 2: Convert to fraction form
    6,345.67/8,761.34 = 3,956.60/x
  3. Step 3: Cross multiply
    6,345.67x = 8,761.34 × 3,956.60
  4. Step 4: Simplify right side
    6,345.67x = 34,665,117.84
  5. Step 5: Solve for x
    x = 34,665,117.84/6,345.67
  6. Step 6: Final answer
    x = 5,462.80

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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.