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Finding the Fourth Proportional to 6,024.38, 9,039.60 and 2,329.16

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Solution

The fourth proportional to 6,024.38, 9,039.60 and 2,329.16 is: 3,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.38 : 9,039.60 = 2,329.16 : x
  2. Step 2: Convert to fraction form
    6,024.38/9,039.60 = 2,329.16/x
  3. Step 3: Cross multiply
    6,024.38x = 9,039.60 × 2,329.16
  4. Step 4: Simplify right side
    6,024.38x = 21,054,629.54
  5. Step 5: Solve for x
    x = 21,054,629.54/6,024.38
  6. Step 6: Final answer
    x = 3,494.91

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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.