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Finding the Fourth Proportional to 6,908.42, 9,534.77 and 4,076.49

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Solution

The fourth proportional to 6,908.42, 9,534.77 and 4,076.49 is: 5,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.42 : 9,534.77 = 4,076.49 : x
  2. Step 2: Convert to fraction form
    6,908.42/9,534.77 = 4,076.49/x
  3. Step 3: Cross multiply
    6,908.42x = 9,534.77 × 4,076.49
  4. Step 4: Simplify right side
    6,908.42x = 38,868,374.17
  5. Step 5: Solve for x
    x = 38,868,374.17/6,908.42
  6. Step 6: Final answer
    x = 5,626.24

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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.