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Finding the Fourth Proportional to 9,612.96, 13,264.08 and 6,073.68

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Solution

The fourth proportional to 9,612.96, 13,264.08 and 6,073.68 is: 8,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.96 : 13,264.08 = 6,073.68 : x
  2. Step 2: Convert to fraction form
    9,612.96/13,264.08 = 6,073.68/x
  3. Step 3: Cross multiply
    9,612.96x = 13,264.08 × 6,073.68
  4. Step 4: Simplify right side
    9,612.96x = 80,561,777.41
  5. Step 5: Solve for x
    x = 80,561,777.41/9,612.96
  6. Step 6: Final answer
    x = 8,380.54

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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.