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Finding the Fourth Proportional to 9,644.39, 13,311.69 and 5,455.07

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Solution

The fourth proportional to 9,644.39, 13,311.69 and 5,455.07 is: 7,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.39 : 13,311.69 = 5,455.07 : x
  2. Step 2: Convert to fraction form
    9,644.39/13,311.69 = 5,455.07/x
  3. Step 3: Cross multiply
    9,644.39x = 13,311.69 × 5,455.07
  4. Step 4: Simplify right side
    9,644.39x = 72,616,200.77
  5. Step 5: Solve for x
    x = 72,616,200.77/9,644.39
  6. Step 6: Final answer
    x = 7,529.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.