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Finding the Fourth Proportional to 9,636.32, 14,455.67 and 3,711.83

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Solution

The fourth proportional to 9,636.32, 14,455.67 and 3,711.83 is: 5,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.32 : 14,455.67 = 3,711.83 : x
  2. Step 2: Convert to fraction form
    9,636.32/14,455.67 = 3,711.83/x
  3. Step 3: Cross multiply
    9,636.32x = 14,455.67 × 3,711.83
  4. Step 4: Simplify right side
    9,636.32x = 53,656,898.74
  5. Step 5: Solve for x
    x = 53,656,898.74/9,636.32
  6. Step 6: Final answer
    x = 5,568.20

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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.