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Finding the Fourth Proportional to 9,506.52, 14,259.82 and 3,268.34

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Solution

The fourth proportional to 9,506.52, 14,259.82 and 3,268.34 is: 4,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.52 : 14,259.82 = 3,268.34 : x
  2. Step 2: Convert to fraction form
    9,506.52/14,259.82 = 3,268.34/x
  3. Step 3: Cross multiply
    9,506.52x = 14,259.82 × 3,268.34
  4. Step 4: Simplify right side
    9,506.52x = 46,605,940.10
  5. Step 5: Solve for x
    x = 46,605,940.10/9,506.52
  6. Step 6: Final answer
    x = 4,902.52

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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.