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Finding the Fourth Proportional to 9,586.34, 14,383.17 and 3,747.02

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Solution

The fourth proportional to 9,586.34, 14,383.17 and 3,747.02 is: 5,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.34 : 14,383.17 = 3,747.02 : x
  2. Step 2: Convert to fraction form
    9,586.34/14,383.17 = 3,747.02/x
  3. Step 3: Cross multiply
    9,586.34x = 14,383.17 × 3,747.02
  4. Step 4: Simplify right side
    9,586.34x = 53,894,025.65
  5. Step 5: Solve for x
    x = 53,894,025.65/9,586.34
  6. Step 6: Final answer
    x = 5,621.96

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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.