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Finding the Fourth Proportional to 9,323.10, 13,986.54 and 3,083.40

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Solution

The fourth proportional to 9,323.10, 13,986.54 and 3,083.40 is: 4,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.10 : 13,986.54 = 3,083.40 : x
  2. Step 2: Convert to fraction form
    9,323.10/13,986.54 = 3,083.40/x
  3. Step 3: Cross multiply
    9,323.10x = 13,986.54 × 3,083.40
  4. Step 4: Simplify right side
    9,323.10x = 43,126,097.44
  5. Step 5: Solve for x
    x = 43,126,097.44/9,323.10
  6. Step 6: Final answer
    x = 4,625.73

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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.