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Finding the Fourth Proportional to 9,285.10, 13,947.09 and 7,827.10

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Solution

The fourth proportional to 9,285.10, 13,947.09 and 7,827.10 is: 11,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.10 : 13,947.09 = 7,827.10 : x
  2. Step 2: Convert to fraction form
    9,285.10/13,947.09 = 7,827.10/x
  3. Step 3: Cross multiply
    9,285.10x = 13,947.09 × 7,827.10
  4. Step 4: Simplify right side
    9,285.10x = 109,165,268.14
  5. Step 5: Solve for x
    x = 109,165,268.14/9,285.10
  6. Step 6: Final answer
    x = 11,757.04

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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.