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Finding the Fourth Proportional to 9,391.80, 14,082.51 and 6,433.65

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Solution

The fourth proportional to 9,391.80, 14,082.51 and 6,433.65 is: 9,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.80 : 14,082.51 = 6,433.65 : x
  2. Step 2: Convert to fraction form
    9,391.80/14,082.51 = 6,433.65/x
  3. Step 3: Cross multiply
    9,391.80x = 14,082.51 × 6,433.65
  4. Step 4: Simplify right side
    9,391.80x = 90,601,940.46
  5. Step 5: Solve for x
    x = 90,601,940.46/9,391.80
  6. Step 6: Final answer
    x = 9,646.92

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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.