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Finding the Fourth Proportional to 7,138.46, 9,851.08 and 3,994.64

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Solution

The fourth proportional to 7,138.46, 9,851.08 and 3,994.64 is: 5,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.46 : 9,851.08 = 3,994.64 : x
  2. Step 2: Convert to fraction form
    7,138.46/9,851.08 = 3,994.64/x
  3. Step 3: Cross multiply
    7,138.46x = 9,851.08 × 3,994.64
  4. Step 4: Simplify right side
    7,138.46x = 39,351,518.21
  5. Step 5: Solve for x
    x = 39,351,518.21/7,138.46
  6. Step 6: Final answer
    x = 5,512.61

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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.