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Finding the Fourth Proportional to 9,367.57, 14,069.58 and 6,892.62

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Solution

The fourth proportional to 9,367.57, 14,069.58 and 6,892.62 is: 10,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.57 : 14,069.58 = 6,892.62 : x
  2. Step 2: Convert to fraction form
    9,367.57/14,069.58 = 6,892.62/x
  3. Step 3: Cross multiply
    9,367.57x = 14,069.58 × 6,892.62
  4. Step 4: Simplify right side
    9,367.57x = 96,976,268.50
  5. Step 5: Solve for x
    x = 96,976,268.50/9,367.57
  6. Step 6: Final answer
    x = 10,352.34

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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.