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Finding the Fourth Proportional to 6,729.70, 9,289.48 and 5,781.70

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Solution

The fourth proportional to 6,729.70, 9,289.48 and 5,781.70 is: 7,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.70 : 9,289.48 = 5,781.70 : x
  2. Step 2: Convert to fraction form
    6,729.70/9,289.48 = 5,781.70/x
  3. Step 3: Cross multiply
    6,729.70x = 9,289.48 × 5,781.70
  4. Step 4: Simplify right side
    6,729.70x = 53,708,986.52
  5. Step 5: Solve for x
    x = 53,708,986.52/6,729.70
  6. Step 6: Final answer
    x = 7,980.89

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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.