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Finding the Fourth Proportional to 9,509.79, 14,266.41 and 3,268.20

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Solution

The fourth proportional to 9,509.79, 14,266.41 and 3,268.20 is: 4,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.79 : 14,266.41 = 3,268.20 : x
  2. Step 2: Convert to fraction form
    9,509.79/14,266.41 = 3,268.20/x
  3. Step 3: Cross multiply
    9,509.79x = 14,266.41 × 3,268.20
  4. Step 4: Simplify right side
    9,509.79x = 46,625,481.16
  5. Step 5: Solve for x
    x = 46,625,481.16/9,509.79
  6. Step 6: Final answer
    x = 4,902.89

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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.