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Finding the Fourth Proportional to 9,163.54, 13,714.16 and 5,655.77

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Solution

The fourth proportional to 9,163.54, 13,714.16 and 5,655.77 is: 8,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.54 : 13,714.16 = 5,655.77 : x
  2. Step 2: Convert to fraction form
    9,163.54/13,714.16 = 5,655.77/x
  3. Step 3: Cross multiply
    9,163.54x = 13,714.16 × 5,655.77
  4. Step 4: Simplify right side
    9,163.54x = 77,564,037.85
  5. Step 5: Solve for x
    x = 77,564,037.85/9,163.54
  6. Step 6: Final answer
    x = 8,464.42

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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.