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Finding the Fourth Proportional to 9,950.32, 13,732.92 and 7,305.04

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Solution

The fourth proportional to 9,950.32, 13,732.92 and 7,305.04 is: 10,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.32 : 13,732.92 = 7,305.04 : x
  2. Step 2: Convert to fraction form
    9,950.32/13,732.92 = 7,305.04/x
  3. Step 3: Cross multiply
    9,950.32x = 13,732.92 × 7,305.04
  4. Step 4: Simplify right side
    9,950.32x = 100,319,529.92
  5. Step 5: Solve for x
    x = 100,319,529.92/9,950.32
  6. Step 6: Final answer
    x = 10,082.04

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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.