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Finding the Fourth Proportional to 9,745.72, 14,616.48 and 3,082.74

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Solution

The fourth proportional to 9,745.72, 14,616.48 and 3,082.74 is: 4,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.72 : 14,616.48 = 3,082.74 : x
  2. Step 2: Convert to fraction form
    9,745.72/14,616.48 = 3,082.74/x
  3. Step 3: Cross multiply
    9,745.72x = 14,616.48 × 3,082.74
  4. Step 4: Simplify right side
    9,745.72x = 45,058,719.06
  5. Step 5: Solve for x
    x = 45,058,719.06/9,745.72
  6. Step 6: Final answer
    x = 4,623.44

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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.