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Finding the Fourth Proportional to 9,758.64, 13,467.36 and 5,511.38

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Solution

The fourth proportional to 9,758.64, 13,467.36 and 5,511.38 is: 7,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.64 : 13,467.36 = 5,511.38 : x
  2. Step 2: Convert to fraction form
    9,758.64/13,467.36 = 5,511.38/x
  3. Step 3: Cross multiply
    9,758.64x = 13,467.36 × 5,511.38
  4. Step 4: Simplify right side
    9,758.64x = 74,223,738.56
  5. Step 5: Solve for x
    x = 74,223,738.56/9,758.64
  6. Step 6: Final answer
    x = 7,605.95

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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.