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Finding the Fourth Proportional to 9,104.94, 13,651.02 and 4,651.65

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Solution

The fourth proportional to 9,104.94, 13,651.02 and 4,651.65 is: 6,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.94 : 13,651.02 = 4,651.65 : x
  2. Step 2: Convert to fraction form
    9,104.94/13,651.02 = 4,651.65/x
  3. Step 3: Cross multiply
    9,104.94x = 13,651.02 × 4,651.65
  4. Step 4: Simplify right side
    9,104.94x = 63,499,767.18
  5. Step 5: Solve for x
    x = 63,499,767.18/9,104.94
  6. Step 6: Final answer
    x = 6,974.21

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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.