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Finding the Fourth Proportional to 9,294.08, 13,941.11 and 3,449.52

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Solution

The fourth proportional to 9,294.08, 13,941.11 and 3,449.52 is: 5,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.08 : 13,941.11 = 3,449.52 : x
  2. Step 2: Convert to fraction form
    9,294.08/13,941.11 = 3,449.52/x
  3. Step 3: Cross multiply
    9,294.08x = 13,941.11 × 3,449.52
  4. Step 4: Simplify right side
    9,294.08x = 48,090,146.39
  5. Step 5: Solve for x
    x = 48,090,146.39/9,294.08
  6. Step 6: Final answer
    x = 5,174.28

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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.