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Finding the Fourth Proportional to 6,744.51, 9,307.22 and 3,760.11

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Solution

The fourth proportional to 6,744.51, 9,307.22 and 3,760.11 is: 5,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.51 : 9,307.22 = 3,760.11 : x
  2. Step 2: Convert to fraction form
    6,744.51/9,307.22 = 3,760.11/x
  3. Step 3: Cross multiply
    6,744.51x = 9,307.22 × 3,760.11
  4. Step 4: Simplify right side
    6,744.51x = 34,996,152.19
  5. Step 5: Solve for x
    x = 34,996,152.19/6,744.51
  6. Step 6: Final answer
    x = 5,188.84

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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.