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Finding the Fourth Proportional to 6,090.39, 9,138.41 and 3,313.76

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Solution

The fourth proportional to 6,090.39, 9,138.41 and 3,313.76 is: 4,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.39 : 9,138.41 = 3,313.76 : x
  2. Step 2: Convert to fraction form
    6,090.39/9,138.41 = 3,313.76/x
  3. Step 3: Cross multiply
    6,090.39x = 9,138.41 × 3,313.76
  4. Step 4: Simplify right side
    6,090.39x = 30,282,435.26
  5. Step 5: Solve for x
    x = 30,282,435.26/6,090.39
  6. Step 6: Final answer
    x = 4,972.17

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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.