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Finding the Fourth Proportional to 6,035.32, 9,054.24 and 2,142.48

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Solution

The fourth proportional to 6,035.32, 9,054.24 and 2,142.48 is: 3,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.32 : 9,054.24 = 2,142.48 : x
  2. Step 2: Convert to fraction form
    6,035.32/9,054.24 = 2,142.48/x
  3. Step 3: Cross multiply
    6,035.32x = 9,054.24 × 2,142.48
  4. Step 4: Simplify right side
    6,035.32x = 19,398,528.12
  5. Step 5: Solve for x
    x = 19,398,528.12/6,035.32
  6. Step 6: Final answer
    x = 3,214.17

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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.