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Finding the Fourth Proportional to 6,228.96, 9,355.32 and 5,004.24

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Solution

The fourth proportional to 6,228.96, 9,355.32 and 5,004.24 is: 7,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.96 : 9,355.32 = 5,004.24 : x
  2. Step 2: Convert to fraction form
    6,228.96/9,355.32 = 5,004.24/x
  3. Step 3: Cross multiply
    6,228.96x = 9,355.32 × 5,004.24
  4. Step 4: Simplify right side
    6,228.96x = 46,816,266.56
  5. Step 5: Solve for x
    x = 46,816,266.56/6,228.96
  6. Step 6: Final answer
    x = 7,515.90

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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.