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Finding the Fourth Proportional to 6,271.34, 9,404.63 and 2,053.61

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Solution

The fourth proportional to 6,271.34, 9,404.63 and 2,053.61 is: 3,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.34 : 9,404.63 = 2,053.61 : x
  2. Step 2: Convert to fraction form
    6,271.34/9,404.63 = 2,053.61/x
  3. Step 3: Cross multiply
    6,271.34x = 9,404.63 × 2,053.61
  4. Step 4: Simplify right side
    6,271.34x = 19,313,431.95
  5. Step 5: Solve for x
    x = 19,313,431.95/6,271.34
  6. Step 6: Final answer
    x = 3,079.63

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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.