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Finding the Fourth Proportional to 9,722.56, 13,415.61 and 5,530

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Solution

The fourth proportional to 9,722.56, 13,415.61 and 5,530 is: 7,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.56 : 13,415.61 = 5,530 : x
  2. Step 2: Convert to fraction form
    9,722.56/13,415.61 = 5,530/x
  3. Step 3: Cross multiply
    9,722.56x = 13,415.61 × 5,530
  4. Step 4: Simplify right side
    9,722.56x = 74,188,323.30
  5. Step 5: Solve for x
    x = 74,188,323.30/9,722.56
  6. Step 6: Final answer
    x = 7,630.53

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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.