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Finding the Fourth Proportional to 9,789.36, 13,511.52 and 8,214.72

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Solution

The fourth proportional to 9,789.36, 13,511.52 and 8,214.72 is: 11,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.36 : 13,511.52 = 8,214.72 : x
  2. Step 2: Convert to fraction form
    9,789.36/13,511.52 = 8,214.72/x
  3. Step 3: Cross multiply
    9,789.36x = 13,511.52 × 8,214.72
  4. Step 4: Simplify right side
    9,789.36x = 110,993,353.57
  5. Step 5: Solve for x
    x = 110,993,353.57/9,789.36
  6. Step 6: Final answer
    x = 11,338.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.