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Finding the Fourth Proportional to 9,076.26, 13,612.54 and 2,835.26

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Solution

The fourth proportional to 9,076.26, 13,612.54 and 2,835.26 is: 4,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.26 : 13,612.54 = 2,835.26 : x
  2. Step 2: Convert to fraction form
    9,076.26/13,612.54 = 2,835.26/x
  3. Step 3: Cross multiply
    9,076.26x = 13,612.54 × 2,835.26
  4. Step 4: Simplify right side
    9,076.26x = 38,595,090.16
  5. Step 5: Solve for x
    x = 38,595,090.16/9,076.26
  6. Step 6: Final answer
    x = 4,252.31

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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.