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Finding the Fourth Proportional to 9,914.94, 13,683.69 and 5,937.03

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Solution

The fourth proportional to 9,914.94, 13,683.69 and 5,937.03 is: 8,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.94 : 13,683.69 = 5,937.03 : x
  2. Step 2: Convert to fraction form
    9,914.94/13,683.69 = 5,937.03/x
  3. Step 3: Cross multiply
    9,914.94x = 13,683.69 × 5,937.03
  4. Step 4: Simplify right side
    9,914.94x = 81,240,478.04
  5. Step 5: Solve for x
    x = 81,240,478.04/9,914.94
  6. Step 6: Final answer
    x = 8,193.74

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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.