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Finding the Fourth Proportional to 9,192.34, 13,794 and 3,349.36

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Solution

The fourth proportional to 9,192.34, 13,794 and 3,349.36 is: 5,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.34 : 13,794 = 3,349.36 : x
  2. Step 2: Convert to fraction form
    9,192.34/13,794 = 3,349.36/x
  3. Step 3: Cross multiply
    9,192.34x = 13,794 × 3,349.36
  4. Step 4: Simplify right side
    9,192.34x = 46,201,071.84
  5. Step 5: Solve for x
    x = 46,201,071.84/9,192.34
  6. Step 6: Final answer
    x = 5,026.04

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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.