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Finding the Fourth Proportional to 7,205.06, 9,942.96 and 4,018.35

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Solution

The fourth proportional to 7,205.06, 9,942.96 and 4,018.35 is: 5,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.06 : 9,942.96 = 4,018.35 : x
  2. Step 2: Convert to fraction form
    7,205.06/9,942.96 = 4,018.35/x
  3. Step 3: Cross multiply
    7,205.06x = 9,942.96 × 4,018.35
  4. Step 4: Simplify right side
    7,205.06x = 39,954,273.22
  5. Step 5: Solve for x
    x = 39,954,273.22/7,205.06
  6. Step 6: Final answer
    x = 5,545.31

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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.