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Finding the Fourth Proportional to 6,748.50, 9,314.19 and 3,954

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Solution

The fourth proportional to 6,748.50, 9,314.19 and 3,954 is: 5,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.50 : 9,314.19 = 3,954 : x
  2. Step 2: Convert to fraction form
    6,748.50/9,314.19 = 3,954/x
  3. Step 3: Cross multiply
    6,748.50x = 9,314.19 × 3,954
  4. Step 4: Simplify right side
    6,748.50x = 36,828,307.26
  5. Step 5: Solve for x
    x = 36,828,307.26/6,748.50
  6. Step 6: Final answer
    x = 5,457.26

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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.