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Finding the Fourth Proportional to 6,578.60, 9,077.46 and 3,926.12

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Solution

The fourth proportional to 6,578.60, 9,077.46 and 3,926.12 is: 5,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.60 : 9,077.46 = 3,926.12 : x
  2. Step 2: Convert to fraction form
    6,578.60/9,077.46 = 3,926.12/x
  3. Step 3: Cross multiply
    6,578.60x = 9,077.46 × 3,926.12
  4. Step 4: Simplify right side
    6,578.60x = 35,639,197.26
  5. Step 5: Solve for x
    x = 35,639,197.26/6,578.60
  6. Step 6: Final answer
    x = 5,417.44

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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.