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Finding the Fourth Proportional to 6,009.12, 9,015.84 and 2,889

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Solution

The fourth proportional to 6,009.12, 9,015.84 and 2,889 is: 4,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.12 : 9,015.84 = 2,889 : x
  2. Step 2: Convert to fraction form
    6,009.12/9,015.84 = 2,889/x
  3. Step 3: Cross multiply
    6,009.12x = 9,015.84 × 2,889
  4. Step 4: Simplify right side
    6,009.12x = 26,046,761.76
  5. Step 5: Solve for x
    x = 26,046,761.76/6,009.12
  6. Step 6: Final answer
    x = 4,334.54

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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.