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Finding the Fourth Proportional to 9,033.93, 12,471.84 and 6,202.98

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Solution

The fourth proportional to 9,033.93, 12,471.84 and 6,202.98 is: 8,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.93 : 12,471.84 = 6,202.98 : x
  2. Step 2: Convert to fraction form
    9,033.93/12,471.84 = 6,202.98/x
  3. Step 3: Cross multiply
    9,033.93x = 12,471.84 × 6,202.98
  4. Step 4: Simplify right side
    9,033.93x = 77,362,574.08
  5. Step 5: Solve for x
    x = 77,362,574.08/9,033.93
  6. Step 6: Final answer
    x = 8,563.56

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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.