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Finding the Fourth Proportional to 9,069.72, 13,597.09 and 3,446.23

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Solution

The fourth proportional to 9,069.72, 13,597.09 and 3,446.23 is: 5,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.72 : 13,597.09 = 3,446.23 : x
  2. Step 2: Convert to fraction form
    9,069.72/13,597.09 = 3,446.23/x
  3. Step 3: Cross multiply
    9,069.72x = 13,597.09 × 3,446.23
  4. Step 4: Simplify right side
    9,069.72x = 46,858,701.57
  5. Step 5: Solve for x
    x = 46,858,701.57/9,069.72
  6. Step 6: Final answer
    x = 5,166.50

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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.