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Finding the Fourth Proportional to 9,034.74, 12,467.46 and 5,257.74

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Solution

The fourth proportional to 9,034.74, 12,467.46 and 5,257.74 is: 7,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.74 : 12,467.46 = 5,257.74 : x
  2. Step 2: Convert to fraction form
    9,034.74/12,467.46 = 5,257.74/x
  3. Step 3: Cross multiply
    9,034.74x = 12,467.46 × 5,257.74
  4. Step 4: Simplify right side
    9,034.74x = 65,550,663.14
  5. Step 5: Solve for x
    x = 65,550,663.14/9,034.74
  6. Step 6: Final answer
    x = 7,255.40

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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.