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Finding the Fourth Proportional to 9,639.52, 14,447.44 and 5,483

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Solution

The fourth proportional to 9,639.52, 14,447.44 and 5,483 is: 8,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.52 : 14,447.44 = 5,483 : x
  2. Step 2: Convert to fraction form
    9,639.52/14,447.44 = 5,483/x
  3. Step 3: Cross multiply
    9,639.52x = 14,447.44 × 5,483
  4. Step 4: Simplify right side
    9,639.52x = 79,215,313.52
  5. Step 5: Solve for x
    x = 79,215,313.52/9,639.52
  6. Step 6: Final answer
    x = 8,217.77

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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.