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Finding the Fourth Proportional to 6,899.48, 9,519.72 and 3,914.60

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Solution

The fourth proportional to 6,899.48, 9,519.72 and 3,914.60 is: 5,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.48 : 9,519.72 = 3,914.60 : x
  2. Step 2: Convert to fraction form
    6,899.48/9,519.72 = 3,914.60/x
  3. Step 3: Cross multiply
    6,899.48x = 9,519.72 × 3,914.60
  4. Step 4: Simplify right side
    6,899.48x = 37,265,895.91
  5. Step 5: Solve for x
    x = 37,265,895.91/6,899.48
  6. Step 6: Final answer
    x = 5,401.26

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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.