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Finding the Fourth Proportional to 9,772.97, 13,483.44 and 5,523.48

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Solution

The fourth proportional to 9,772.97, 13,483.44 and 5,523.48 is: 7,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.97 : 13,483.44 = 5,523.48 : x
  2. Step 2: Convert to fraction form
    9,772.97/13,483.44 = 5,523.48/x
  3. Step 3: Cross multiply
    9,772.97x = 13,483.44 × 5,523.48
  4. Step 4: Simplify right side
    9,772.97x = 74,475,511.17
  5. Step 5: Solve for x
    x = 74,475,511.17/9,772.97
  6. Step 6: Final answer
    x = 7,620.56

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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.