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Finding the Fourth Proportional to 9,644.04, 14,469.63 and 3,804.72

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Solution

The fourth proportional to 9,644.04, 14,469.63 and 3,804.72 is: 5,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.04 : 14,469.63 = 3,804.72 : x
  2. Step 2: Convert to fraction form
    9,644.04/14,469.63 = 3,804.72/x
  3. Step 3: Cross multiply
    9,644.04x = 14,469.63 × 3,804.72
  4. Step 4: Simplify right side
    9,644.04x = 55,052,890.65
  5. Step 5: Solve for x
    x = 55,052,890.65/9,644.04
  6. Step 6: Final answer
    x = 5,708.49

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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.