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Finding the Fourth Proportional to 9,076.74, 13,609.29 and 3,815.16

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Solution

The fourth proportional to 9,076.74, 13,609.29 and 3,815.16 is: 5,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.74 : 13,609.29 = 3,815.16 : x
  2. Step 2: Convert to fraction form
    9,076.74/13,609.29 = 3,815.16/x
  3. Step 3: Cross multiply
    9,076.74x = 13,609.29 × 3,815.16
  4. Step 4: Simplify right side
    9,076.74x = 51,921,618.84
  5. Step 5: Solve for x
    x = 51,921,618.84/9,076.74
  6. Step 6: Final answer
    x = 5,720.29

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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.