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Finding the Fourth Proportional to 9,872.10, 14,844.60 and 8,268.30

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Solution

The fourth proportional to 9,872.10, 14,844.60 and 8,268.30 is: 12,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.10 : 14,844.60 = 8,268.30 : x
  2. Step 2: Convert to fraction form
    9,872.10/14,844.60 = 8,268.30/x
  3. Step 3: Cross multiply
    9,872.10x = 14,844.60 × 8,268.30
  4. Step 4: Simplify right side
    9,872.10x = 122,739,606.18
  5. Step 5: Solve for x
    x = 122,739,606.18/9,872.10
  6. Step 6: Final answer
    x = 12,432.98

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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.