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Finding the Fourth Proportional to 9,077.40, 13,620.02 and 3,813.62

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Solution

The fourth proportional to 9,077.40, 13,620.02 and 3,813.62 is: 5,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.40 : 13,620.02 = 3,813.62 : x
  2. Step 2: Convert to fraction form
    9,077.40/13,620.02 = 3,813.62/x
  3. Step 3: Cross multiply
    9,077.40x = 13,620.02 × 3,813.62
  4. Step 4: Simplify right side
    9,077.40x = 51,941,493.50
  5. Step 5: Solve for x
    x = 51,941,493.50/9,077.40
  6. Step 6: Final answer
    x = 5,722.07

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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.