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Finding the Fourth Proportional to 9,673.98, 13,344.39 and 5,941.50

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Solution

The fourth proportional to 9,673.98, 13,344.39 and 5,941.50 is: 8,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.98 : 13,344.39 = 5,941.50 : x
  2. Step 2: Convert to fraction form
    9,673.98/13,344.39 = 5,941.50/x
  3. Step 3: Cross multiply
    9,673.98x = 13,344.39 × 5,941.50
  4. Step 4: Simplify right side
    9,673.98x = 79,285,693.19
  5. Step 5: Solve for x
    x = 79,285,693.19/9,673.98
  6. Step 6: Final answer
    x = 8,195.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.