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Finding the Fourth Proportional to 6,165.25, 9,235.70 and 4,078.95

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Solution

The fourth proportional to 6,165.25, 9,235.70 and 4,078.95 is: 6,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.25 : 9,235.70 = 4,078.95 : x
  2. Step 2: Convert to fraction form
    6,165.25/9,235.70 = 4,078.95/x
  3. Step 3: Cross multiply
    6,165.25x = 9,235.70 × 4,078.95
  4. Step 4: Simplify right side
    6,165.25x = 37,671,958.52
  5. Step 5: Solve for x
    x = 37,671,958.52/6,165.25
  6. Step 6: Final answer
    x = 6,110.37

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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.