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Finding the Fourth Proportional to 6,357, 9,541.95 and 3,072.85

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Solution

The fourth proportional to 6,357, 9,541.95 and 3,072.85 is: 4,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 9,541.95 = 3,072.85 : x
  2. Step 2: Convert to fraction form
    6,357/9,541.95 = 3,072.85/x
  3. Step 3: Cross multiply
    6,357x = 9,541.95 × 3,072.85
  4. Step 4: Simplify right side
    6,357x = 29,320,981.06
  5. Step 5: Solve for x
    x = 29,320,981.06/6,357
  6. Step 6: Final answer
    x = 4,612.39

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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.