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Finding the Fourth Proportional to 9,563.83, 13,202.58 and 6,382.42

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Solution

The fourth proportional to 9,563.83, 13,202.58 and 6,382.42 is: 8,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.83 : 13,202.58 = 6,382.42 : x
  2. Step 2: Convert to fraction form
    9,563.83/13,202.58 = 6,382.42/x
  3. Step 3: Cross multiply
    9,563.83x = 13,202.58 × 6,382.42
  4. Step 4: Simplify right side
    9,563.83x = 84,264,410.64
  5. Step 5: Solve for x
    x = 84,264,410.64/9,563.83
  6. Step 6: Final answer
    x = 8,810.74

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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.