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Finding the Fourth Proportional to 6,309.36, 8,705.52 and 4,212

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Solution

The fourth proportional to 6,309.36, 8,705.52 and 4,212 is: 5,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.36 : 8,705.52 = 4,212 : x
  2. Step 2: Convert to fraction form
    6,309.36/8,705.52 = 4,212/x
  3. Step 3: Cross multiply
    6,309.36x = 8,705.52 × 4,212
  4. Step 4: Simplify right side
    6,309.36x = 36,667,650.24
  5. Step 5: Solve for x
    x = 36,667,650.24/6,309.36
  6. Step 6: Final answer
    x = 5,811.63

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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.