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Finding the Fourth Proportional to 6,055.14, 9,069.94 and 2,771

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Solution

The fourth proportional to 6,055.14, 9,069.94 and 2,771 is: 4,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.14 : 9,069.94 = 2,771 : x
  2. Step 2: Convert to fraction form
    6,055.14/9,069.94 = 2,771/x
  3. Step 3: Cross multiply
    6,055.14x = 9,069.94 × 2,771
  4. Step 4: Simplify right side
    6,055.14x = 25,132,803.74
  5. Step 5: Solve for x
    x = 25,132,803.74/6,055.14
  6. Step 6: Final answer
    x = 4,150.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.