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Finding the Fourth Proportional to 6,223, 9,334.54 and 1,606.04

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Solution

The fourth proportional to 6,223, 9,334.54 and 1,606.04 is: 2,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223 : 9,334.54 = 1,606.04 : x
  2. Step 2: Convert to fraction form
    6,223/9,334.54 = 1,606.04/x
  3. Step 3: Cross multiply
    6,223x = 9,334.54 × 1,606.04
  4. Step 4: Simplify right side
    6,223x = 14,991,644.62
  5. Step 5: Solve for x
    x = 14,991,644.62/6,223
  6. Step 6: Final answer
    x = 2,409.07

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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.