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Finding the Fourth Proportional to 9,076.14, 13,610.55 and 2,834.10

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Solution

The fourth proportional to 9,076.14, 13,610.55 and 2,834.10 is: 4,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.14 : 13,610.55 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    9,076.14/13,610.55 = 2,834.10/x
  3. Step 3: Cross multiply
    9,076.14x = 13,610.55 × 2,834.10
  4. Step 4: Simplify right side
    9,076.14x = 38,573,659.76
  5. Step 5: Solve for x
    x = 38,573,659.76/9,076.14
  6. Step 6: Final answer
    x = 4,250.01

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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.