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Finding the Fourth Proportional to 9,178.72, 13,773.40 and 3,913.44

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Solution

The fourth proportional to 9,178.72, 13,773.40 and 3,913.44 is: 5,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.72 : 13,773.40 = 3,913.44 : x
  2. Step 2: Convert to fraction form
    9,178.72/13,773.40 = 3,913.44/x
  3. Step 3: Cross multiply
    9,178.72x = 13,773.40 × 3,913.44
  4. Step 4: Simplify right side
    9,178.72x = 53,901,374.50
  5. Step 5: Solve for x
    x = 53,901,374.50/9,178.72
  6. Step 6: Final answer
    x = 5,872.43

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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.