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Finding the Fourth Proportional to 6,807.60, 9,394.74 and 3,974.58

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Solution

The fourth proportional to 6,807.60, 9,394.74 and 3,974.58 is: 5,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.60 : 9,394.74 = 3,974.58 : x
  2. Step 2: Convert to fraction form
    6,807.60/9,394.74 = 3,974.58/x
  3. Step 3: Cross multiply
    6,807.60x = 9,394.74 × 3,974.58
  4. Step 4: Simplify right side
    6,807.60x = 37,340,145.71
  5. Step 5: Solve for x
    x = 37,340,145.71/6,807.60
  6. Step 6: Final answer
    x = 5,485.07

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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.