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Finding the Fourth Proportional to 9,685.56, 13,365.36 and 5,493

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Solution

The fourth proportional to 9,685.56, 13,365.36 and 5,493 is: 7,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.56 : 13,365.36 = 5,493 : x
  2. Step 2: Convert to fraction form
    9,685.56/13,365.36 = 5,493/x
  3. Step 3: Cross multiply
    9,685.56x = 13,365.36 × 5,493
  4. Step 4: Simplify right side
    9,685.56x = 73,415,922.48
  5. Step 5: Solve for x
    x = 73,415,922.48/9,685.56
  6. Step 6: Final answer
    x = 7,579.94

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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.