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Finding the Fourth Proportional to 9,629.69, 14,446.06 and 4,083.08

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Solution

The fourth proportional to 9,629.69, 14,446.06 and 4,083.08 is: 6,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.69 : 14,446.06 = 4,083.08 : x
  2. Step 2: Convert to fraction form
    9,629.69/14,446.06 = 4,083.08/x
  3. Step 3: Cross multiply
    9,629.69x = 14,446.06 × 4,083.08
  4. Step 4: Simplify right side
    9,629.69x = 58,984,336.23
  5. Step 5: Solve for x
    x = 58,984,336.23/9,629.69
  6. Step 6: Final answer
    x = 6,125.26

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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.