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Finding the Fourth Proportional to 9,645.03, 13,309.38 and 5,611.23

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Solution

The fourth proportional to 9,645.03, 13,309.38 and 5,611.23 is: 7,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.03 : 13,309.38 = 5,611.23 : x
  2. Step 2: Convert to fraction form
    9,645.03/13,309.38 = 5,611.23/x
  3. Step 3: Cross multiply
    9,645.03x = 13,309.38 × 5,611.23
  4. Step 4: Simplify right side
    9,645.03x = 74,681,992.34
  5. Step 5: Solve for x
    x = 74,681,992.34/9,645.03
  6. Step 6: Final answer
    x = 7,743.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.