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Finding the Fourth Proportional to 9,406.80, 14,113.14 and 5,662.68

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Solution

The fourth proportional to 9,406.80, 14,113.14 and 5,662.68 is: 8,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.80 : 14,113.14 = 5,662.68 : x
  2. Step 2: Convert to fraction form
    9,406.80/14,113.14 = 5,662.68/x
  3. Step 3: Cross multiply
    9,406.80x = 14,113.14 × 5,662.68
  4. Step 4: Simplify right side
    9,406.80x = 79,918,195.62
  5. Step 5: Solve for x
    x = 79,918,195.62/9,406.80
  6. Step 6: Final answer
    x = 8,495.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.