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Finding the Fourth Proportional to 6,009.96, 9,014.34 and 2,114.67

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Solution

The fourth proportional to 6,009.96, 9,014.34 and 2,114.67 is: 3,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.96 : 9,014.34 = 2,114.67 : x
  2. Step 2: Convert to fraction form
    6,009.96/9,014.34 = 2,114.67/x
  3. Step 3: Cross multiply
    6,009.96x = 9,014.34 × 2,114.67
  4. Step 4: Simplify right side
    6,009.96x = 19,062,354.37
  5. Step 5: Solve for x
    x = 19,062,354.37/6,009.96
  6. Step 6: Final answer
    x = 3,171.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.