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Finding the Fourth Proportional to 9,770.10, 13,481.94 and 5,521.55

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Solution

The fourth proportional to 9,770.10, 13,481.94 and 5,521.55 is: 7,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.10 : 13,481.94 = 5,521.55 : x
  2. Step 2: Convert to fraction form
    9,770.10/13,481.94 = 5,521.55/x
  3. Step 3: Cross multiply
    9,770.10x = 13,481.94 × 5,521.55
  4. Step 4: Simplify right side
    9,770.10x = 74,441,138.40
  5. Step 5: Solve for x
    x = 74,441,138.40/9,770.10
  6. Step 6: Final answer
    x = 7,619.28

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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.