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Finding the Fourth Proportional to 6,016.26, 9,035.32 and 5,338.28

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Solution

The fourth proportional to 6,016.26, 9,035.32 and 5,338.28 is: 8,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.26 : 9,035.32 = 5,338.28 : x
  2. Step 2: Convert to fraction form
    6,016.26/9,035.32 = 5,338.28/x
  3. Step 3: Cross multiply
    6,016.26x = 9,035.32 × 5,338.28
  4. Step 4: Simplify right side
    6,016.26x = 48,233,068.05
  5. Step 5: Solve for x
    x = 48,233,068.05/6,016.26
  6. Step 6: Final answer
    x = 8,017.12

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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.