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Finding the Fourth Proportional to 9,057.87, 13,588.34 and 2,816.69

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Solution

The fourth proportional to 9,057.87, 13,588.34 and 2,816.69 is: 4,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.87 : 13,588.34 = 2,816.69 : x
  2. Step 2: Convert to fraction form
    9,057.87/13,588.34 = 2,816.69/x
  3. Step 3: Cross multiply
    9,057.87x = 13,588.34 × 2,816.69
  4. Step 4: Simplify right side
    9,057.87x = 38,274,059.37
  5. Step 5: Solve for x
    x = 38,274,059.37/9,057.87
  6. Step 6: Final answer
    x = 4,225.50

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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.