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Finding the Fourth Proportional to 9,483.96, 14,217.23 and 3,639.41

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Solution

The fourth proportional to 9,483.96, 14,217.23 and 3,639.41 is: 5,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.96 : 14,217.23 = 3,639.41 : x
  2. Step 2: Convert to fraction form
    9,483.96/14,217.23 = 3,639.41/x
  3. Step 3: Cross multiply
    9,483.96x = 14,217.23 × 3,639.41
  4. Step 4: Simplify right side
    9,483.96x = 51,742,267.05
  5. Step 5: Solve for x
    x = 51,742,267.05/9,483.96
  6. Step 6: Final answer
    x = 5,455.77

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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.