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Finding the Fourth Proportional to 6,105.57, 9,138.30 and 4,636.63

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Solution

The fourth proportional to 6,105.57, 9,138.30 and 4,636.63 is: 6,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.57 : 9,138.30 = 4,636.63 : x
  2. Step 2: Convert to fraction form
    6,105.57/9,138.30 = 4,636.63/x
  3. Step 3: Cross multiply
    6,105.57x = 9,138.30 × 4,636.63
  4. Step 4: Simplify right side
    6,105.57x = 42,370,915.93
  5. Step 5: Solve for x
    x = 42,370,915.93/6,105.57
  6. Step 6: Final answer
    x = 6,939.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.