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Finding the Fourth Proportional to 6,316.92, 8,716.92 and 3,484.12

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Solution

The fourth proportional to 6,316.92, 8,716.92 and 3,484.12 is: 4,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.92 : 8,716.92 = 3,484.12 : x
  2. Step 2: Convert to fraction form
    6,316.92/8,716.92 = 3,484.12/x
  3. Step 3: Cross multiply
    6,316.92x = 8,716.92 × 3,484.12
  4. Step 4: Simplify right side
    6,316.92x = 30,370,795.31
  5. Step 5: Solve for x
    x = 30,370,795.31/6,316.92
  6. Step 6: Final answer
    x = 4,807.85

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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.