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Finding the Fourth Proportional to 6,125.58, 9,182.97 and 4,563.63

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Solution

The fourth proportional to 6,125.58, 9,182.97 and 4,563.63 is: 6,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.58 : 9,182.97 = 4,563.63 : x
  2. Step 2: Convert to fraction form
    6,125.58/9,182.97 = 4,563.63/x
  3. Step 3: Cross multiply
    6,125.58x = 9,182.97 × 4,563.63
  4. Step 4: Simplify right side
    6,125.58x = 41,907,677.38
  5. Step 5: Solve for x
    x = 41,907,677.38/6,125.58
  6. Step 6: Final answer
    x = 6,841.42

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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.