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Finding the Fourth Proportional to 9,056.66, 13,586.80 and 3,213.72

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Solution

The fourth proportional to 9,056.66, 13,586.80 and 3,213.72 is: 4,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.66 : 13,586.80 = 3,213.72 : x
  2. Step 2: Convert to fraction form
    9,056.66/13,586.80 = 3,213.72/x
  3. Step 3: Cross multiply
    9,056.66x = 13,586.80 × 3,213.72
  4. Step 4: Simplify right side
    9,056.66x = 43,664,170.90
  5. Step 5: Solve for x
    x = 43,664,170.90/9,056.66
  6. Step 6: Final answer
    x = 4,821.22

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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.