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Finding the Fourth Proportional to 9,826.76, 13,561.29 and 5,350.30

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Solution

The fourth proportional to 9,826.76, 13,561.29 and 5,350.30 is: 7,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.76 : 13,561.29 = 5,350.30 : x
  2. Step 2: Convert to fraction form
    9,826.76/13,561.29 = 5,350.30/x
  3. Step 3: Cross multiply
    9,826.76x = 13,561.29 × 5,350.30
  4. Step 4: Simplify right side
    9,826.76x = 72,556,935.98
  5. Step 5: Solve for x
    x = 72,556,935.98/9,826.76
  6. Step 6: Final answer
    x = 7,383.61

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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.