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Finding the Fourth Proportional to 9,357.80, 14,027.99 and 4,914.54

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Solution

The fourth proportional to 9,357.80, 14,027.99 and 4,914.54 is: 7,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.80 : 14,027.99 = 4,914.54 : x
  2. Step 2: Convert to fraction form
    9,357.80/14,027.99 = 4,914.54/x
  3. Step 3: Cross multiply
    9,357.80x = 14,027.99 × 4,914.54
  4. Step 4: Simplify right side
    9,357.80x = 68,941,093.40
  5. Step 5: Solve for x
    x = 68,941,093.40/9,357.80
  6. Step 6: Final answer
    x = 7,367.24

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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.