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Finding the Fourth Proportional to 6,149.70, 9,217.26 and 4,684.32

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Solution

The fourth proportional to 6,149.70, 9,217.26 and 4,684.32 is: 7,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.70 : 9,217.26 = 4,684.32 : x
  2. Step 2: Convert to fraction form
    6,149.70/9,217.26 = 4,684.32/x
  3. Step 3: Cross multiply
    6,149.70x = 9,217.26 × 4,684.32
  4. Step 4: Simplify right side
    6,149.70x = 43,176,595.36
  5. Step 5: Solve for x
    x = 43,176,595.36/6,149.70
  6. Step 6: Final answer
    x = 7,020.93

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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.