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Finding the Fourth Proportional to 8,309.92, 12,473.08 and 4,414.32

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Solution

The fourth proportional to 8,309.92, 12,473.08 and 4,414.32 is: 6,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.92 : 12,473.08 = 4,414.32 : x
  2. Step 2: Convert to fraction form
    8,309.92/12,473.08 = 4,414.32/x
  3. Step 3: Cross multiply
    8,309.92x = 12,473.08 × 4,414.32
  4. Step 4: Simplify right side
    8,309.92x = 55,060,166.51
  5. Step 5: Solve for x
    x = 55,060,166.51/8,309.92
  6. Step 6: Final answer
    x = 6,625.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.