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Finding the Fourth Proportional to 9,103.70, 13,638.04 and 5,583.44

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Solution

The fourth proportional to 9,103.70, 13,638.04 and 5,583.44 is: 8,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.70 : 13,638.04 = 5,583.44 : x
  2. Step 2: Convert to fraction form
    9,103.70/13,638.04 = 5,583.44/x
  3. Step 3: Cross multiply
    9,103.70x = 13,638.04 × 5,583.44
  4. Step 4: Simplify right side
    9,103.70x = 76,147,178.06
  5. Step 5: Solve for x
    x = 76,147,178.06/9,103.70
  6. Step 6: Final answer
    x = 8,364.42

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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.