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Finding the Fourth Proportional to 9,836.44, 13,561 and 9,530.68

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Solution

The fourth proportional to 9,836.44, 13,561 and 9,530.68 is: 13,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.44 : 13,561 = 9,530.68 : x
  2. Step 2: Convert to fraction form
    9,836.44/13,561 = 9,530.68/x
  3. Step 3: Cross multiply
    9,836.44x = 13,561 × 9,530.68
  4. Step 4: Simplify right side
    9,836.44x = 129,245,551.48
  5. Step 5: Solve for x
    x = 129,245,551.48/9,836.44
  6. Step 6: Final answer
    x = 13,139.46

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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.