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Finding the Fourth Proportional to 6,729.95, 9,291.59 and 4,958.48

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Solution

The fourth proportional to 6,729.95, 9,291.59 and 4,958.48 is: 6,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.95 : 9,291.59 = 4,958.48 : x
  2. Step 2: Convert to fraction form
    6,729.95/9,291.59 = 4,958.48/x
  3. Step 3: Cross multiply
    6,729.95x = 9,291.59 × 4,958.48
  4. Step 4: Simplify right side
    6,729.95x = 46,072,091.93
  5. Step 5: Solve for x
    x = 46,072,091.93/6,729.95
  6. Step 6: Final answer
    x = 6,845.83

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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.