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Finding the Fourth Proportional to 9,600.54, 13,252.08 and 5,622.96

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Solution

The fourth proportional to 9,600.54, 13,252.08 and 5,622.96 is: 7,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.54 : 13,252.08 = 5,622.96 : x
  2. Step 2: Convert to fraction form
    9,600.54/13,252.08 = 5,622.96/x
  3. Step 3: Cross multiply
    9,600.54x = 13,252.08 × 5,622.96
  4. Step 4: Simplify right side
    9,600.54x = 74,515,915.76
  5. Step 5: Solve for x
    x = 74,515,915.76/9,600.54
  6. Step 6: Final answer
    x = 7,761.64

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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.