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Finding the Fourth Proportional to 9,683.54, 14,527.73 and 2,758.04

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Solution

The fourth proportional to 9,683.54, 14,527.73 and 2,758.04 is: 4,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.54 : 14,527.73 = 2,758.04 : x
  2. Step 2: Convert to fraction form
    9,683.54/14,527.73 = 2,758.04/x
  3. Step 3: Cross multiply
    9,683.54x = 14,527.73 × 2,758.04
  4. Step 4: Simplify right side
    9,683.54x = 40,067,974.02
  5. Step 5: Solve for x
    x = 40,067,974.02/9,683.54
  6. Step 6: Final answer
    x = 4,137.74

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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.