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Finding the Fourth Proportional to 6,977.34, 9,629.27 and 3,994.11

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Solution

The fourth proportional to 6,977.34, 9,629.27 and 3,994.11 is: 5,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.34 : 9,629.27 = 3,994.11 : x
  2. Step 2: Convert to fraction form
    6,977.34/9,629.27 = 3,994.11/x
  3. Step 3: Cross multiply
    6,977.34x = 9,629.27 × 3,994.11
  4. Step 4: Simplify right side
    6,977.34x = 38,460,343.63
  5. Step 5: Solve for x
    x = 38,460,343.63/6,977.34
  6. Step 6: Final answer
    x = 5,512.18

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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.