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Finding the Fourth Proportional to 6,272.63, 9,409.85 and 3,349.34

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Solution

The fourth proportional to 6,272.63, 9,409.85 and 3,349.34 is: 5,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.63 : 9,409.85 = 3,349.34 : x
  2. Step 2: Convert to fraction form
    6,272.63/9,409.85 = 3,349.34/x
  3. Step 3: Cross multiply
    6,272.63x = 9,409.85 × 3,349.34
  4. Step 4: Simplify right side
    6,272.63x = 31,516,776.66
  5. Step 5: Solve for x
    x = 31,516,776.66/6,272.63
  6. Step 6: Final answer
    x = 5,024.49

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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.