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Finding the Fourth Proportional to 6,055.74, 9,078.14 and 4,207.73

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Solution

The fourth proportional to 6,055.74, 9,078.14 and 4,207.73 is: 6,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.74 : 9,078.14 = 4,207.73 : x
  2. Step 2: Convert to fraction form
    6,055.74/9,078.14 = 4,207.73/x
  3. Step 3: Cross multiply
    6,055.74x = 9,078.14 × 4,207.73
  4. Step 4: Simplify right side
    6,055.74x = 38,198,327.15
  5. Step 5: Solve for x
    x = 38,198,327.15/6,055.74
  6. Step 6: Final answer
    x = 6,307.79

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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.