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Finding the Fourth Proportional to 9,826.05, 13,557.73 and 8,239.11

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Solution

The fourth proportional to 9,826.05, 13,557.73 and 8,239.11 is: 11,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.05 : 13,557.73 = 8,239.11 : x
  2. Step 2: Convert to fraction form
    9,826.05/13,557.73 = 8,239.11/x
  3. Step 3: Cross multiply
    9,826.05x = 13,557.73 × 8,239.11
  4. Step 4: Simplify right side
    9,826.05x = 111,703,628.82
  5. Step 5: Solve for x
    x = 111,703,628.82/9,826.05
  6. Step 6: Final answer
    x = 11,368.11

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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.