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Finding the Fourth Proportional to 9,056.52, 13,586.76 and 3,213.18

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Solution

The fourth proportional to 9,056.52, 13,586.76 and 3,213.18 is: 4,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.52 : 13,586.76 = 3,213.18 : x
  2. Step 2: Convert to fraction form
    9,056.52/13,586.76 = 3,213.18/x
  3. Step 3: Cross multiply
    9,056.52x = 13,586.76 × 3,213.18
  4. Step 4: Simplify right side
    9,056.52x = 43,656,705.50
  5. Step 5: Solve for x
    x = 43,656,705.50/9,056.52
  6. Step 6: Final answer
    x = 4,820.47

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Why These Related Problems?

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