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Finding the Fourth Proportional to 9,532.35, 14,297.85 and 3,983.67

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Solution

The fourth proportional to 9,532.35, 14,297.85 and 3,983.67 is: 5,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.35 : 14,297.85 = 3,983.67 : x
  2. Step 2: Convert to fraction form
    9,532.35/14,297.85 = 3,983.67/x
  3. Step 3: Cross multiply
    9,532.35x = 14,297.85 × 3,983.67
  4. Step 4: Simplify right side
    9,532.35x = 56,957,916.11
  5. Step 5: Solve for x
    x = 56,957,916.11/9,532.35
  6. Step 6: Final answer
    x = 5,975.22

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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.