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Finding the Fourth Proportional to 6,484.96, 8,949.84 and 5,069.92

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Solution

The fourth proportional to 6,484.96, 8,949.84 and 5,069.92 is: 6,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.96 : 8,949.84 = 5,069.92 : x
  2. Step 2: Convert to fraction form
    6,484.96/8,949.84 = 5,069.92/x
  3. Step 3: Cross multiply
    6,484.96x = 8,949.84 × 5,069.92
  4. Step 4: Simplify right side
    6,484.96x = 45,374,972.81
  5. Step 5: Solve for x
    x = 45,374,972.81/6,484.96
  6. Step 6: Final answer
    x = 6,996.95

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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.