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Finding the Fourth Proportional to 6,257.97, 9,352.40 and 5,019.57

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Solution

The fourth proportional to 6,257.97, 9,352.40 and 5,019.57 is: 7,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.97 : 9,352.40 = 5,019.57 : x
  2. Step 2: Convert to fraction form
    6,257.97/9,352.40 = 5,019.57/x
  3. Step 3: Cross multiply
    6,257.97x = 9,352.40 × 5,019.57
  4. Step 4: Simplify right side
    6,257.97x = 46,945,001.37
  5. Step 5: Solve for x
    x = 46,945,001.37/6,257.97
  6. Step 6: Final answer
    x = 7,501.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.