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Finding the Fourth Proportional to 9,584.34, 14,378.64 and 3,741

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Solution

The fourth proportional to 9,584.34, 14,378.64 and 3,741 is: 5,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.34 : 14,378.64 = 3,741 : x
  2. Step 2: Convert to fraction form
    9,584.34/14,378.64 = 3,741/x
  3. Step 3: Cross multiply
    9,584.34x = 14,378.64 × 3,741
  4. Step 4: Simplify right side
    9,584.34x = 53,790,492.24
  5. Step 5: Solve for x
    x = 53,790,492.24/9,584.34
  6. Step 6: Final answer
    x = 5,612.33

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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.