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Finding the Fourth Proportional to 9,435.99, 13,021.05 and 5,186.23

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Solution

The fourth proportional to 9,435.99, 13,021.05 and 5,186.23 is: 7,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.99 : 13,021.05 = 5,186.23 : x
  2. Step 2: Convert to fraction form
    9,435.99/13,021.05 = 5,186.23/x
  3. Step 3: Cross multiply
    9,435.99x = 13,021.05 × 5,186.23
  4. Step 4: Simplify right side
    9,435.99x = 67,530,147.04
  5. Step 5: Solve for x
    x = 67,530,147.04/9,435.99
  6. Step 6: Final answer
    x = 7,156.65

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