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Finding the Fourth Proportional to 9,666.45, 13,334.09 and 5,473.89

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Solution

The fourth proportional to 9,666.45, 13,334.09 and 5,473.89 is: 7,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.45 : 13,334.09 = 5,473.89 : x
  2. Step 2: Convert to fraction form
    9,666.45/13,334.09 = 5,473.89/x
  3. Step 3: Cross multiply
    9,666.45x = 13,334.09 × 5,473.89
  4. Step 4: Simplify right side
    9,666.45x = 72,989,314.54
  5. Step 5: Solve for x
    x = 72,989,314.54/9,666.45
  6. Step 6: Final answer
    x = 7,550.79

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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.