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Finding the Fourth Proportional to 6,149.51, 9,228.86 and 4,068.78

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Solution

The fourth proportional to 6,149.51, 9,228.86 and 4,068.78 is: 6,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.51 : 9,228.86 = 4,068.78 : x
  2. Step 2: Convert to fraction form
    6,149.51/9,228.86 = 4,068.78/x
  3. Step 3: Cross multiply
    6,149.51x = 9,228.86 × 4,068.78
  4. Step 4: Simplify right side
    6,149.51x = 37,550,180.65
  5. Step 5: Solve for x
    x = 37,550,180.65/6,149.51
  6. Step 6: Final answer
    x = 6,106.21

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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.