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Finding the Fourth Proportional to 9,072, 12,519.36 and 5,346

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Solution

The fourth proportional to 9,072, 12,519.36 and 5,346 is: 7,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072 : 12,519.36 = 5,346 : x
  2. Step 2: Convert to fraction form
    9,072/12,519.36 = 5,346/x
  3. Step 3: Cross multiply
    9,072x = 12,519.36 × 5,346
  4. Step 4: Simplify right side
    9,072x = 66,928,498.56
  5. Step 5: Solve for x
    x = 66,928,498.56/9,072
  6. Step 6: Final answer
    x = 7,377.48

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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.