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Finding the Fourth Proportional to 9,125.36, 12,593.04 and 5,146.64

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Solution

The fourth proportional to 9,125.36, 12,593.04 and 5,146.64 is: 7,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.36 : 12,593.04 = 5,146.64 : x
  2. Step 2: Convert to fraction form
    9,125.36/12,593.04 = 5,146.64/x
  3. Step 3: Cross multiply
    9,125.36x = 12,593.04 × 5,146.64
  4. Step 4: Simplify right side
    9,125.36x = 64,811,843.39
  5. Step 5: Solve for x
    x = 64,811,843.39/9,125.36
  6. Step 6: Final answer
    x = 7,102.39

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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.