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Finding the Fourth Proportional to 9,696.10, 14,530.48 and 4,418.14

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Solution

The fourth proportional to 9,696.10, 14,530.48 and 4,418.14 is: 6,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.10 : 14,530.48 = 4,418.14 : x
  2. Step 2: Convert to fraction form
    9,696.10/14,530.48 = 4,418.14/x
  3. Step 3: Cross multiply
    9,696.10x = 14,530.48 × 4,418.14
  4. Step 4: Simplify right side
    9,696.10x = 64,197,694.91
  5. Step 5: Solve for x
    x = 64,197,694.91/9,696.10
  6. Step 6: Final answer
    x = 6,620.98

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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.