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Finding the Fourth Proportional to 9,464, 14,199.78 and 3,621.20

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Solution

The fourth proportional to 9,464, 14,199.78 and 3,621.20 is: 5,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 14,199.78 = 3,621.20 : x
  2. Step 2: Convert to fraction form
    9,464/14,199.78 = 3,621.20/x
  3. Step 3: Cross multiply
    9,464x = 14,199.78 × 3,621.20
  4. Step 4: Simplify right side
    9,464x = 51,420,243.34
  5. Step 5: Solve for x
    x = 51,420,243.34/9,464
  6. Step 6: Final answer
    x = 5,433.25

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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.