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Finding the Fourth Proportional to 7,025.44, 9,695.15 and 3,838.80

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Solution

The fourth proportional to 7,025.44, 9,695.15 and 3,838.80 is: 5,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.44 : 9,695.15 = 3,838.80 : x
  2. Step 2: Convert to fraction form
    7,025.44/9,695.15 = 3,838.80/x
  3. Step 3: Cross multiply
    7,025.44x = 9,695.15 × 3,838.80
  4. Step 4: Simplify right side
    7,025.44x = 37,217,741.82
  5. Step 5: Solve for x
    x = 37,217,741.82/7,025.44
  6. Step 6: Final answer
    x = 5,297.57

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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.