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Finding the Fourth Proportional to 9,431.57, 13,024.32 and 6,082.22

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Solution

The fourth proportional to 9,431.57, 13,024.32 and 6,082.22 is: 8,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.57 : 13,024.32 = 6,082.22 : x
  2. Step 2: Convert to fraction form
    9,431.57/13,024.32 = 6,082.22/x
  3. Step 3: Cross multiply
    9,431.57x = 13,024.32 × 6,082.22
  4. Step 4: Simplify right side
    9,431.57x = 79,216,779.59
  5. Step 5: Solve for x
    x = 79,216,779.59/9,431.57
  6. Step 6: Final answer
    x = 8,399.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.