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Finding the Fourth Proportional to 9,879.04, 14,824.39 and 3,643.41

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Solution

The fourth proportional to 9,879.04, 14,824.39 and 3,643.41 is: 5,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.04 : 14,824.39 = 3,643.41 : x
  2. Step 2: Convert to fraction form
    9,879.04/14,824.39 = 3,643.41/x
  3. Step 3: Cross multiply
    9,879.04x = 14,824.39 × 3,643.41
  4. Step 4: Simplify right side
    9,879.04x = 54,011,269.25
  5. Step 5: Solve for x
    x = 54,011,269.25/9,879.04
  6. Step 6: Final answer
    x = 5,467.26

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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.