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Finding the Fourth Proportional to 9,000.22, 12,420.27 and 5,021.34

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Solution

The fourth proportional to 9,000.22, 12,420.27 and 5,021.34 is: 6,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.22 : 12,420.27 = 5,021.34 : x
  2. Step 2: Convert to fraction form
    9,000.22/12,420.27 = 5,021.34/x
  3. Step 3: Cross multiply
    9,000.22x = 12,420.27 × 5,021.34
  4. Step 4: Simplify right side
    9,000.22x = 62,366,311.35
  5. Step 5: Solve for x
    x = 62,366,311.35/9,000.22
  6. Step 6: Final answer
    x = 6,929.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.