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Finding the Fourth Proportional to 6,540.75, 9,020.25 and 4,866.39

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Solution

The fourth proportional to 6,540.75, 9,020.25 and 4,866.39 is: 6,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 9,020.25 = 4,866.39 : x
  2. Step 2: Convert to fraction form
    6,540.75/9,020.25 = 4,866.39/x
  3. Step 3: Cross multiply
    6,540.75x = 9,020.25 × 4,866.39
  4. Step 4: Simplify right side
    6,540.75x = 43,896,054.40
  5. Step 5: Solve for x
    x = 43,896,054.40/6,540.75
  6. Step 6: Final answer
    x = 6,711.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.