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Finding the Fourth Proportional to 9,914.26, 13,680.54 and 5,880.46

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Solution

The fourth proportional to 9,914.26, 13,680.54 and 5,880.46 is: 8,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.26 : 13,680.54 = 5,880.46 : x
  2. Step 2: Convert to fraction form
    9,914.26/13,680.54 = 5,880.46/x
  3. Step 3: Cross multiply
    9,914.26x = 13,680.54 × 5,880.46
  4. Step 4: Simplify right side
    9,914.26x = 80,447,868.25
  5. Step 5: Solve for x
    x = 80,447,868.25/9,914.26
  6. Step 6: Final answer
    x = 8,114.36

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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.