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Finding the Fourth Proportional to 9,630.01, 14,433.20 and 5,473.50

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Solution

The fourth proportional to 9,630.01, 14,433.20 and 5,473.50 is: 8,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.01 : 14,433.20 = 5,473.50 : x
  2. Step 2: Convert to fraction form
    9,630.01/14,433.20 = 5,473.50/x
  3. Step 3: Cross multiply
    9,630.01x = 14,433.20 × 5,473.50
  4. Step 4: Simplify right side
    9,630.01x = 79,000,120.20
  5. Step 5: Solve for x
    x = 79,000,120.20/9,630.01
  6. Step 6: Final answer
    x = 8,203.53

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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.