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Finding the Fourth Proportional to 6,130.83, 9,189.81 and 3,006.51

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Solution

The fourth proportional to 6,130.83, 9,189.81 and 3,006.51 is: 4,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.83 : 9,189.81 = 3,006.51 : x
  2. Step 2: Convert to fraction form
    6,130.83/9,189.81 = 3,006.51/x
  3. Step 3: Cross multiply
    6,130.83x = 9,189.81 × 3,006.51
  4. Step 4: Simplify right side
    6,130.83x = 27,629,255.66
  5. Step 5: Solve for x
    x = 27,629,255.66/6,130.83
  6. Step 6: Final answer
    x = 4,506.61

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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.