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Finding the Fourth Proportional to 6,028.16, 9,042.06 and 5,864

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Solution

The fourth proportional to 6,028.16, 9,042.06 and 5,864 is: 8,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.16 : 9,042.06 = 5,864 : x
  2. Step 2: Convert to fraction form
    6,028.16/9,042.06 = 5,864/x
  3. Step 3: Cross multiply
    6,028.16x = 9,042.06 × 5,864
  4. Step 4: Simplify right side
    6,028.16x = 53,022,639.84
  5. Step 5: Solve for x
    x = 53,022,639.84/6,028.16
  6. Step 6: Final answer
    x = 8,795.82

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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.