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Finding the Fourth Proportional to 9,683.55, 14,525.02 and 2,758.05

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Solution

The fourth proportional to 9,683.55, 14,525.02 and 2,758.05 is: 4,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.55 : 14,525.02 = 2,758.05 : x
  2. Step 2: Convert to fraction form
    9,683.55/14,525.02 = 2,758.05/x
  3. Step 3: Cross multiply
    9,683.55x = 14,525.02 × 2,758.05
  4. Step 4: Simplify right side
    9,683.55x = 40,060,731.41
  5. Step 5: Solve for x
    x = 40,060,731.41/9,683.55
  6. Step 6: Final answer
    x = 4,136.99

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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.