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Finding the Fourth Proportional to 9,771.57, 13,485.60 and 5,523.41

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Solution

The fourth proportional to 9,771.57, 13,485.60 and 5,523.41 is: 7,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.57 : 13,485.60 = 5,523.41 : x
  2. Step 2: Convert to fraction form
    9,771.57/13,485.60 = 5,523.41/x
  3. Step 3: Cross multiply
    9,771.57x = 13,485.60 × 5,523.41
  4. Step 4: Simplify right side
    9,771.57x = 74,486,531.61
  5. Step 5: Solve for x
    x = 74,486,531.61/9,771.57
  6. Step 6: Final answer
    x = 7,622.78

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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.