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Finding the Fourth Proportional to 6,758.64, 9,326.60 and 3,774.48

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Solution

The fourth proportional to 6,758.64, 9,326.60 and 3,774.48 is: 5,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.64 : 9,326.60 = 3,774.48 : x
  2. Step 2: Convert to fraction form
    6,758.64/9,326.60 = 3,774.48/x
  3. Step 3: Cross multiply
    6,758.64x = 9,326.60 × 3,774.48
  4. Step 4: Simplify right side
    6,758.64x = 35,203,065.17
  5. Step 5: Solve for x
    x = 35,203,065.17/6,758.64
  6. Step 6: Final answer
    x = 5,208.60

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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.