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Finding the Fourth Proportional to 6,069.48, 9,107.06 and 3,146.19

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Solution

The fourth proportional to 6,069.48, 9,107.06 and 3,146.19 is: 4,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.48 : 9,107.06 = 3,146.19 : x
  2. Step 2: Convert to fraction form
    6,069.48/9,107.06 = 3,146.19/x
  3. Step 3: Cross multiply
    6,069.48x = 9,107.06 × 3,146.19
  4. Step 4: Simplify right side
    6,069.48x = 28,652,525.37
  5. Step 5: Solve for x
    x = 28,652,525.37/6,069.48
  6. Step 6: Final answer
    x = 4,720.75

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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.