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Finding the Fourth Proportional to 6,134.58, 9,189.81 and 4,048.21

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Solution

The fourth proportional to 6,134.58, 9,189.81 and 4,048.21 is: 6,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.58 : 9,189.81 = 4,048.21 : x
  2. Step 2: Convert to fraction form
    6,134.58/9,189.81 = 4,048.21/x
  3. Step 3: Cross multiply
    6,134.58x = 9,189.81 × 4,048.21
  4. Step 4: Simplify right side
    6,134.58x = 37,202,280.74
  5. Step 5: Solve for x
    x = 37,202,280.74/6,134.58
  6. Step 6: Final answer
    x = 6,064.36

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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.