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Finding the Fourth Proportional to 6,880.10, 9,496.05 and 4,522.46

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Solution

The fourth proportional to 6,880.10, 9,496.05 and 4,522.46 is: 6,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.10 : 9,496.05 = 4,522.46 : x
  2. Step 2: Convert to fraction form
    6,880.10/9,496.05 = 4,522.46/x
  3. Step 3: Cross multiply
    6,880.10x = 9,496.05 × 4,522.46
  4. Step 4: Simplify right side
    6,880.10x = 42,945,506.28
  5. Step 5: Solve for x
    x = 42,945,506.28/6,880.10
  6. Step 6: Final answer
    x = 6,241.99

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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.