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Finding the Fourth Proportional to 9,000.39, 12,420.50 and 5,021.50

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Solution

The fourth proportional to 9,000.39, 12,420.50 and 5,021.50 is: 6,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.39 : 12,420.50 = 5,021.50 : x
  2. Step 2: Convert to fraction form
    9,000.39/12,420.50 = 5,021.50/x
  3. Step 3: Cross multiply
    9,000.39x = 12,420.50 × 5,021.50
  4. Step 4: Simplify right side
    9,000.39x = 62,369,540.75
  5. Step 5: Solve for x
    x = 62,369,540.75/9,000.39
  6. Step 6: Final answer
    x = 6,929.65

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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.