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Finding the Fourth Proportional to 9,914.75, 13,680.21 and 5,720.57

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Solution

The fourth proportional to 9,914.75, 13,680.21 and 5,720.57 is: 7,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.75 : 13,680.21 = 5,720.57 : x
  2. Step 2: Convert to fraction form
    9,914.75/13,680.21 = 5,720.57/x
  3. Step 3: Cross multiply
    9,914.75x = 13,680.21 × 5,720.57
  4. Step 4: Simplify right side
    9,914.75x = 78,258,598.92
  5. Step 5: Solve for x
    x = 78,258,598.92/9,914.75
  6. Step 6: Final answer
    x = 7,893.15

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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.