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Finding the Fourth Proportional to 9,420.80, 14,133.55 and 3,499.37

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Solution

The fourth proportional to 9,420.80, 14,133.55 and 3,499.37 is: 5,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.80 : 14,133.55 = 3,499.37 : x
  2. Step 2: Convert to fraction form
    9,420.80/14,133.55 = 3,499.37/x
  3. Step 3: Cross multiply
    9,420.80x = 14,133.55 × 3,499.37
  4. Step 4: Simplify right side
    9,420.80x = 49,458,491.17
  5. Step 5: Solve for x
    x = 49,458,491.17/9,420.80
  6. Step 6: Final answer
    x = 5,249.93

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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.