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Finding the Fourth Proportional to 9,753.41, 14,623.48 and 3,826.58

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Solution

The fourth proportional to 9,753.41, 14,623.48 and 3,826.58 is: 5,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.41 : 14,623.48 = 3,826.58 : x
  2. Step 2: Convert to fraction form
    9,753.41/14,623.48 = 3,826.58/x
  3. Step 3: Cross multiply
    9,753.41x = 14,623.48 × 3,826.58
  4. Step 4: Simplify right side
    9,753.41x = 55,957,833.41
  5. Step 5: Solve for x
    x = 55,957,833.41/9,753.41
  6. Step 6: Final answer
    x = 5,737.26

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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.