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Finding the Fourth Proportional to 9,651.14, 14,477.62 and 3,411.10

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Solution

The fourth proportional to 9,651.14, 14,477.62 and 3,411.10 is: 5,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.14 : 14,477.62 = 3,411.10 : x
  2. Step 2: Convert to fraction form
    9,651.14/14,477.62 = 3,411.10/x
  3. Step 3: Cross multiply
    9,651.14x = 14,477.62 × 3,411.10
  4. Step 4: Simplify right side
    9,651.14x = 49,384,609.58
  5. Step 5: Solve for x
    x = 49,384,609.58/9,651.14
  6. Step 6: Final answer
    x = 5,116.97

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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.