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Finding the Fourth Proportional to 9,241.58, 13,829.54 and 6,770.27

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Solution

The fourth proportional to 9,241.58, 13,829.54 and 6,770.27 is: 10,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.58 : 13,829.54 = 6,770.27 : x
  2. Step 2: Convert to fraction form
    9,241.58/13,829.54 = 6,770.27/x
  3. Step 3: Cross multiply
    9,241.58x = 13,829.54 × 6,770.27
  4. Step 4: Simplify right side
    9,241.58x = 93,629,719.78
  5. Step 5: Solve for x
    x = 93,629,719.78/9,241.58
  6. Step 6: Final answer
    x = 10,131.35

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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.