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Finding the Fourth Proportional to 9,620.48, 13,278.24 and 5,643.68

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Solution

The fourth proportional to 9,620.48, 13,278.24 and 5,643.68 is: 7,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.48 : 13,278.24 = 5,643.68 : x
  2. Step 2: Convert to fraction form
    9,620.48/13,278.24 = 5,643.68/x
  3. Step 3: Cross multiply
    9,620.48x = 13,278.24 × 5,643.68
  4. Step 4: Simplify right side
    9,620.48x = 74,938,137.52
  5. Step 5: Solve for x
    x = 74,938,137.52/9,620.48
  6. Step 6: Final answer
    x = 7,789.44

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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.