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Finding the Fourth Proportional to 9,650.63, 14,453.26 and 4,704.77

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Solution

The fourth proportional to 9,650.63, 14,453.26 and 4,704.77 is: 7,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.63 : 14,453.26 = 4,704.77 : x
  2. Step 2: Convert to fraction form
    9,650.63/14,453.26 = 4,704.77/x
  3. Step 3: Cross multiply
    9,650.63x = 14,453.26 × 4,704.77
  4. Step 4: Simplify right side
    9,650.63x = 67,999,264.05
  5. Step 5: Solve for x
    x = 67,999,264.05/9,650.63
  6. Step 6: Final answer
    x = 7,046.10

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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.