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Finding the Fourth Proportional to 6,048.14, 9,074.78 and 3,128.49

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Solution

The fourth proportional to 6,048.14, 9,074.78 and 3,128.49 is: 4,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.14 : 9,074.78 = 3,128.49 : x
  2. Step 2: Convert to fraction form
    6,048.14/9,074.78 = 3,128.49/x
  3. Step 3: Cross multiply
    6,048.14x = 9,074.78 × 3,128.49
  4. Step 4: Simplify right side
    6,048.14x = 28,390,342.84
  5. Step 5: Solve for x
    x = 28,390,342.84/6,048.14
  6. Step 6: Final answer
    x = 4,694.07

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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.