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Finding the Fourth Proportional to 9,758.66, 14,640.62 and 3,519.36

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Solution

The fourth proportional to 9,758.66, 14,640.62 and 3,519.36 is: 5,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.66 : 14,640.62 = 3,519.36 : x
  2. Step 2: Convert to fraction form
    9,758.66/14,640.62 = 3,519.36/x
  3. Step 3: Cross multiply
    9,758.66x = 14,640.62 × 3,519.36
  4. Step 4: Simplify right side
    9,758.66x = 51,525,621.20
  5. Step 5: Solve for x
    x = 51,525,621.20/9,758.66
  6. Step 6: Final answer
    x = 5,279.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.