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Finding the Fourth Proportional to 6,550.56, 9,038.25 and 4,193.46

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Solution

The fourth proportional to 6,550.56, 9,038.25 and 4,193.46 is: 5,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.56 : 9,038.25 = 4,193.46 : x
  2. Step 2: Convert to fraction form
    6,550.56/9,038.25 = 4,193.46/x
  3. Step 3: Cross multiply
    6,550.56x = 9,038.25 × 4,193.46
  4. Step 4: Simplify right side
    6,550.56x = 37,901,539.85
  5. Step 5: Solve for x
    x = 37,901,539.85/6,550.56
  6. Step 6: Final answer
    x = 5,786.00

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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.