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Finding the Fourth Proportional to 6,162.45, 9,235.03 and 4,106.13

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Solution

The fourth proportional to 6,162.45, 9,235.03 and 4,106.13 is: 6,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.45 : 9,235.03 = 4,106.13 : x
  2. Step 2: Convert to fraction form
    6,162.45/9,235.03 = 4,106.13/x
  3. Step 3: Cross multiply
    6,162.45x = 9,235.03 × 4,106.13
  4. Step 4: Simplify right side
    6,162.45x = 37,920,233.73
  5. Step 5: Solve for x
    x = 37,920,233.73/6,162.45
  6. Step 6: Final answer
    x = 6,153.43

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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.