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Finding the Fourth Proportional to 6,077.93, 9,113.40 and 3,614.46

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Solution

The fourth proportional to 6,077.93, 9,113.40 and 3,614.46 is: 5,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.93 : 9,113.40 = 3,614.46 : x
  2. Step 2: Convert to fraction form
    6,077.93/9,113.40 = 3,614.46/x
  3. Step 3: Cross multiply
    6,077.93x = 9,113.40 × 3,614.46
  4. Step 4: Simplify right side
    6,077.93x = 32,940,019.76
  5. Step 5: Solve for x
    x = 32,940,019.76/6,077.93
  6. Step 6: Final answer
    x = 5,419.62

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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.