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Finding the Fourth Proportional to 9,683.70, 14,527.07 and 4,137.08

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Solution

The fourth proportional to 9,683.70, 14,527.07 and 4,137.08 is: 6,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,527.07 = 4,137.08 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,527.07 = 4,137.08/x
  3. Step 3: Cross multiply
    9,683.70x = 14,527.07 × 4,137.08
  4. Step 4: Simplify right side
    9,683.70x = 60,099,650.76
  5. Step 5: Solve for x
    x = 60,099,650.76/9,683.70
  6. Step 6: Final answer
    x = 6,206.27

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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.