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Finding the Fourth Proportional to 9,449.62, 14,172.80 and 2,522.50

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Solution

The fourth proportional to 9,449.62, 14,172.80 and 2,522.50 is: 3,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.62 : 14,172.80 = 2,522.50 : x
  2. Step 2: Convert to fraction form
    9,449.62/14,172.80 = 2,522.50/x
  3. Step 3: Cross multiply
    9,449.62x = 14,172.80 × 2,522.50
  4. Step 4: Simplify right side
    9,449.62x = 35,750,888
  5. Step 5: Solve for x
    x = 35,750,888/9,449.62
  6. Step 6: Final answer
    x = 3,783.31

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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.