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Finding the Fourth Proportional to 9,826.88, 13,561 and 5,350.62

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Solution

The fourth proportional to 9,826.88, 13,561 and 5,350.62 is: 7,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.88 : 13,561 = 5,350.62 : x
  2. Step 2: Convert to fraction form
    9,826.88/13,561 = 5,350.62/x
  3. Step 3: Cross multiply
    9,826.88x = 13,561 × 5,350.62
  4. Step 4: Simplify right side
    9,826.88x = 72,559,757.82
  5. Step 5: Solve for x
    x = 72,559,757.82/9,826.88
  6. Step 6: Final answer
    x = 7,383.80

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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.