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Finding the Fourth Proportional to 9,483.41, 14,233.73 and 4,806.68

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Solution

The fourth proportional to 9,483.41, 14,233.73 and 4,806.68 is: 7,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.41 : 14,233.73 = 4,806.68 : x
  2. Step 2: Convert to fraction form
    9,483.41/14,233.73 = 4,806.68/x
  3. Step 3: Cross multiply
    9,483.41x = 14,233.73 × 4,806.68
  4. Step 4: Simplify right side
    9,483.41x = 68,416,890.11
  5. Step 5: Solve for x
    x = 68,416,890.11/9,483.41
  6. Step 6: Final answer
    x = 7,214.37

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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.