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Finding the Fourth Proportional to 6,880.50, 9,495.09 and 3,736.76

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Solution

The fourth proportional to 6,880.50, 9,495.09 and 3,736.76 is: 5,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.50 : 9,495.09 = 3,736.76 : x
  2. Step 2: Convert to fraction form
    6,880.50/9,495.09 = 3,736.76/x
  3. Step 3: Cross multiply
    6,880.50x = 9,495.09 × 3,736.76
  4. Step 4: Simplify right side
    6,880.50x = 35,480,825.03
  5. Step 5: Solve for x
    x = 35,480,825.03/6,880.50
  6. Step 6: Final answer
    x = 5,156.72

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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.