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Finding the Fourth Proportional to 9,489.36, 13,095.72 and 5,511.36

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Solution

The fourth proportional to 9,489.36, 13,095.72 and 5,511.36 is: 7,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.36 : 13,095.72 = 5,511.36 : x
  2. Step 2: Convert to fraction form
    9,489.36/13,095.72 = 5,511.36/x
  3. Step 3: Cross multiply
    9,489.36x = 13,095.72 × 5,511.36
  4. Step 4: Simplify right side
    9,489.36x = 72,175,227.38
  5. Step 5: Solve for x
    x = 72,175,227.38/9,489.36
  6. Step 6: Final answer
    x = 7,605.91

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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.