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Finding the Fourth Proportional to 9,589.49, 13,230.40 and 5,811.46

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Solution

The fourth proportional to 9,589.49, 13,230.40 and 5,811.46 is: 8,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.49 : 13,230.40 = 5,811.46 : x
  2. Step 2: Convert to fraction form
    9,589.49/13,230.40 = 5,811.46/x
  3. Step 3: Cross multiply
    9,589.49x = 13,230.40 × 5,811.46
  4. Step 4: Simplify right side
    9,589.49x = 76,887,940.38
  5. Step 5: Solve for x
    x = 76,887,940.38/9,589.49
  6. Step 6: Final answer
    x = 8,017.94

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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.