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Finding the Fourth Proportional to 6,223.44, 9,335.40 and 1,606.56

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Solution

The fourth proportional to 6,223.44, 9,335.40 and 1,606.56 is: 2,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.44 : 9,335.40 = 1,606.56 : x
  2. Step 2: Convert to fraction form
    6,223.44/9,335.40 = 1,606.56/x
  3. Step 3: Cross multiply
    6,223.44x = 9,335.40 × 1,606.56
  4. Step 4: Simplify right side
    6,223.44x = 14,997,880.22
  5. Step 5: Solve for x
    x = 14,997,880.22/6,223.44
  6. Step 6: Final answer
    x = 2,409.90

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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.