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Finding the Fourth Proportional to 5,994.04, 9,009 and 4,960.68

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Solution

The fourth proportional to 5,994.04, 9,009 and 4,960.68 is: 7,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.04 : 9,009 = 4,960.68 : x
  2. Step 2: Convert to fraction form
    5,994.04/9,009 = 4,960.68/x
  3. Step 3: Cross multiply
    5,994.04x = 9,009 × 4,960.68
  4. Step 4: Simplify right side
    5,994.04x = 44,690,766.12
  5. Step 5: Solve for x
    x = 44,690,766.12/5,994.04
  6. Step 6: Final answer
    x = 7,455.87

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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.