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Finding the Fourth Proportional to 9,385, 14,077.68 and 3,544.36

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Solution

The fourth proportional to 9,385, 14,077.68 and 3,544.36 is: 5,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385 : 14,077.68 = 3,544.36 : x
  2. Step 2: Convert to fraction form
    9,385/14,077.68 = 3,544.36/x
  3. Step 3: Cross multiply
    9,385x = 14,077.68 × 3,544.36
  4. Step 4: Simplify right side
    9,385x = 49,896,365.88
  5. Step 5: Solve for x
    x = 49,896,365.88/9,385
  6. Step 6: Final answer
    x = 5,316.61

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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.