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Finding the Fourth Proportional to 9,192.44, 13,790.74 and 3,349

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Solution

The fourth proportional to 9,192.44, 13,790.74 and 3,349 is: 5,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.44 : 13,790.74 = 3,349 : x
  2. Step 2: Convert to fraction form
    9,192.44/13,790.74 = 3,349/x
  3. Step 3: Cross multiply
    9,192.44x = 13,790.74 × 3,349
  4. Step 4: Simplify right side
    9,192.44x = 46,185,188.26
  5. Step 5: Solve for x
    x = 46,185,188.26/9,192.44
  6. Step 6: Final answer
    x = 5,024.26

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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.