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Finding the Fourth Proportional to 6,954.14, 9,591.62 and 5,066.30

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Solution

The fourth proportional to 6,954.14, 9,591.62 and 5,066.30 is: 6,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.14 : 9,591.62 = 5,066.30 : x
  2. Step 2: Convert to fraction form
    6,954.14/9,591.62 = 5,066.30/x
  3. Step 3: Cross multiply
    6,954.14x = 9,591.62 × 5,066.30
  4. Step 4: Simplify right side
    6,954.14x = 48,594,024.41
  5. Step 5: Solve for x
    x = 48,594,024.41/6,954.14
  6. Step 6: Final answer
    x = 6,987.78

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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.