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Finding the Fourth Proportional to 9,204.84, 13,807.26 and 3,367.98

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Solution

The fourth proportional to 9,204.84, 13,807.26 and 3,367.98 is: 5,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.84 : 13,807.26 = 3,367.98 : x
  2. Step 2: Convert to fraction form
    9,204.84/13,807.26 = 3,367.98/x
  3. Step 3: Cross multiply
    9,204.84x = 13,807.26 × 3,367.98
  4. Step 4: Simplify right side
    9,204.84x = 46,502,575.53
  5. Step 5: Solve for x
    x = 46,502,575.53/9,204.84
  6. Step 6: Final answer
    x = 5,051.97

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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.