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Finding the Fourth Proportional to 9,683.80, 14,525.70 and 3,114.70

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Solution

The fourth proportional to 9,683.80, 14,525.70 and 3,114.70 is: 4,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.80 : 14,525.70 = 3,114.70 : x
  2. Step 2: Convert to fraction form
    9,683.80/14,525.70 = 3,114.70/x
  3. Step 3: Cross multiply
    9,683.80x = 14,525.70 × 3,114.70
  4. Step 4: Simplify right side
    9,683.80x = 45,243,197.79
  5. Step 5: Solve for x
    x = 45,243,197.79/9,683.80
  6. Step 6: Final answer
    x = 4,672.05

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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.