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Finding the Fourth Proportional to 9,995.22, 14,996.16 and 4,801.50

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Solution

The fourth proportional to 9,995.22, 14,996.16 and 4,801.50 is: 7,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.22 : 14,996.16 = 4,801.50 : x
  2. Step 2: Convert to fraction form
    9,995.22/14,996.16 = 4,801.50/x
  3. Step 3: Cross multiply
    9,995.22x = 14,996.16 × 4,801.50
  4. Step 4: Simplify right side
    9,995.22x = 72,004,062.24
  5. Step 5: Solve for x
    x = 72,004,062.24/9,995.22
  6. Step 6: Final answer
    x = 7,203.85

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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.