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Finding the Fourth Proportional to 6,078.36, 9,102.84 and 3,473.40

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Solution

The fourth proportional to 6,078.36, 9,102.84 and 3,473.40 is: 5,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.36 : 9,102.84 = 3,473.40 : x
  2. Step 2: Convert to fraction form
    6,078.36/9,102.84 = 3,473.40/x
  3. Step 3: Cross multiply
    6,078.36x = 9,102.84 × 3,473.40
  4. Step 4: Simplify right side
    6,078.36x = 31,617,804.46
  5. Step 5: Solve for x
    x = 31,617,804.46/6,078.36
  6. Step 6: Final answer
    x = 5,201.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.