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Finding the Fourth Proportional to 7,211.08, 9,949.41 and 4,225.31

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Solution

The fourth proportional to 7,211.08, 9,949.41 and 4,225.31 is: 5,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.08 : 9,949.41 = 4,225.31 : x
  2. Step 2: Convert to fraction form
    7,211.08/9,949.41 = 4,225.31/x
  3. Step 3: Cross multiply
    7,211.08x = 9,949.41 × 4,225.31
  4. Step 4: Simplify right side
    7,211.08x = 42,039,341.57
  5. Step 5: Solve for x
    x = 42,039,341.57/7,211.08
  6. Step 6: Final answer
    x = 5,829.83

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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.