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Finding the Fourth Proportional to 6,093.40, 9,142.70 and 2,976.16

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Solution

The fourth proportional to 6,093.40, 9,142.70 and 2,976.16 is: 4,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.40 : 9,142.70 = 2,976.16 : x
  2. Step 2: Convert to fraction form
    6,093.40/9,142.70 = 2,976.16/x
  3. Step 3: Cross multiply
    6,093.40x = 9,142.70 × 2,976.16
  4. Step 4: Simplify right side
    6,093.40x = 27,210,138.03
  5. Step 5: Solve for x
    x = 27,210,138.03/6,093.40
  6. Step 6: Final answer
    x = 4,465.51

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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.