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Finding the Fourth Proportional to 9,213.10, 13,824.15 and 4,280.20

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Solution

The fourth proportional to 9,213.10, 13,824.15 and 4,280.20 is: 6,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.10 : 13,824.15 = 4,280.20 : x
  2. Step 2: Convert to fraction form
    9,213.10/13,824.15 = 4,280.20/x
  3. Step 3: Cross multiply
    9,213.10x = 13,824.15 × 4,280.20
  4. Step 4: Simplify right side
    9,213.10x = 59,170,126.83
  5. Step 5: Solve for x
    x = 59,170,126.83/9,213.10
  6. Step 6: Final answer
    x = 6,422.39

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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.