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Finding the Fourth Proportional to 9,666.22, 13,334.88 and 5,684.80

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Solution

The fourth proportional to 9,666.22, 13,334.88 and 5,684.80 is: 7,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.22 : 13,334.88 = 5,684.80 : x
  2. Step 2: Convert to fraction form
    9,666.22/13,334.88 = 5,684.80/x
  3. Step 3: Cross multiply
    9,666.22x = 13,334.88 × 5,684.80
  4. Step 4: Simplify right side
    9,666.22x = 75,806,125.82
  5. Step 5: Solve for x
    x = 75,806,125.82/9,666.22
  6. Step 6: Final answer
    x = 7,842.38

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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.