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Finding the Fourth Proportional to 9,380, 14,069.44 and 3,535.84

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Solution

The fourth proportional to 9,380, 14,069.44 and 3,535.84 is: 5,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380 : 14,069.44 = 3,535.84 : x
  2. Step 2: Convert to fraction form
    9,380/14,069.44 = 3,535.84/x
  3. Step 3: Cross multiply
    9,380x = 14,069.44 × 3,535.84
  4. Step 4: Simplify right side
    9,380x = 49,747,288.73
  5. Step 5: Solve for x
    x = 49,747,288.73/9,380
  6. Step 6: Final answer
    x = 5,303.55

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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.