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Finding the Fourth Proportional to 9,033.95, 12,471.84 and 6,203.00

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Solution

The fourth proportional to 9,033.95, 12,471.84 and 6,203.00 is: 8,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.95 : 12,471.84 = 6,203.00 : x
  2. Step 2: Convert to fraction form
    9,033.95/12,471.84 = 6,203.00/x
  3. Step 3: Cross multiply
    9,033.95x = 12,471.84 × 6,203.00
  4. Step 4: Simplify right side
    9,033.95x = 77,362,761.16
  5. Step 5: Solve for x
    x = 77,362,761.16/9,033.95
  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.