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Finding the Fourth Proportional to 6,333.67, 8,740.29 and 3,462.40

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Solution

The fourth proportional to 6,333.67, 8,740.29 and 3,462.40 is: 4,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.67 : 8,740.29 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    6,333.67/8,740.29 = 3,462.40/x
  3. Step 3: Cross multiply
    6,333.67x = 8,740.29 × 3,462.40
  4. Step 4: Simplify right side
    6,333.67x = 30,262,380.10
  5. Step 5: Solve for x
    x = 30,262,380.10/6,333.67
  6. Step 6: Final answer
    x = 4,778.02

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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.