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Finding the Fourth Proportional to 9,409.77, 14,121.14 and 3,566.43

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Solution

The fourth proportional to 9,409.77, 14,121.14 and 3,566.43 is: 5,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.77 : 14,121.14 = 3,566.43 : x
  2. Step 2: Convert to fraction form
    9,409.77/14,121.14 = 3,566.43/x
  3. Step 3: Cross multiply
    9,409.77x = 14,121.14 × 3,566.43
  4. Step 4: Simplify right side
    9,409.77x = 50,362,039.50
  5. Step 5: Solve for x
    x = 50,362,039.50/9,409.77
  6. Step 6: Final answer
    x = 5,352.10

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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.