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Finding the Fourth Proportional to 9,420.99, 13,002.08 and 5,229.51

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Solution

The fourth proportional to 9,420.99, 13,002.08 and 5,229.51 is: 7,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.99 : 13,002.08 = 5,229.51 : x
  2. Step 2: Convert to fraction form
    9,420.99/13,002.08 = 5,229.51/x
  3. Step 3: Cross multiply
    9,420.99x = 13,002.08 × 5,229.51
  4. Step 4: Simplify right side
    9,420.99x = 67,994,481.23
  5. Step 5: Solve for x
    x = 67,994,481.23/9,420.99
  6. Step 6: Final answer
    x = 7,217.34

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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.