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Finding the Fourth Proportional to 9,256, 13,889.46 and 3,416.71

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Solution

The fourth proportional to 9,256, 13,889.46 and 3,416.71 is: 5,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256 : 13,889.46 = 3,416.71 : x
  2. Step 2: Convert to fraction form
    9,256/13,889.46 = 3,416.71/x
  3. Step 3: Cross multiply
    9,256x = 13,889.46 × 3,416.71
  4. Step 4: Simplify right side
    9,256x = 47,456,256.88
  5. Step 5: Solve for x
    x = 47,456,256.88/9,256
  6. Step 6: Final answer
    x = 5,127.08

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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.