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Finding the Fourth Proportional to 6,868.60, 9,477.94 and 3,884.36

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Solution

The fourth proportional to 6,868.60, 9,477.94 and 3,884.36 is: 5,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.60 : 9,477.94 = 3,884.36 : x
  2. Step 2: Convert to fraction form
    6,868.60/9,477.94 = 3,884.36/x
  3. Step 3: Cross multiply
    6,868.60x = 9,477.94 × 3,884.36
  4. Step 4: Simplify right side
    6,868.60x = 36,815,731.02
  5. Step 5: Solve for x
    x = 36,815,731.02/6,868.60
  6. Step 6: Final answer
    x = 5,360.01

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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.