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Finding the Fourth Proportional to 6,634.80, 9,937.80 and 4,042.80

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Solution

The fourth proportional to 6,634.80, 9,937.80 and 4,042.80 is: 6,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.80 : 9,937.80 = 4,042.80 : x
  2. Step 2: Convert to fraction form
    6,634.80/9,937.80 = 4,042.80/x
  3. Step 3: Cross multiply
    6,634.80x = 9,937.80 × 4,042.80
  4. Step 4: Simplify right side
    6,634.80x = 40,176,537.84
  5. Step 5: Solve for x
    x = 40,176,537.84/6,634.80
  6. Step 6: Final answer
    x = 6,055.43

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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.