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Finding the Fourth Proportional to 9,323.38, 13,980.65 and 3,396.07

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Solution

The fourth proportional to 9,323.38, 13,980.65 and 3,396.07 is: 5,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.38 : 13,980.65 = 3,396.07 : x
  2. Step 2: Convert to fraction form
    9,323.38/13,980.65 = 3,396.07/x
  3. Step 3: Cross multiply
    9,323.38x = 13,980.65 × 3,396.07
  4. Step 4: Simplify right side
    9,323.38x = 47,479,266.05
  5. Step 5: Solve for x
    x = 47,479,266.05/9,323.38
  6. Step 6: Final answer
    x = 5,092.50

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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.