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Finding the Fourth Proportional to 9,695.46, 13,371.57 and 7,923.99

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Solution

The fourth proportional to 9,695.46, 13,371.57 and 7,923.99 is: 10,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.46 : 13,371.57 = 7,923.99 : x
  2. Step 2: Convert to fraction form
    9,695.46/13,371.57 = 7,923.99/x
  3. Step 3: Cross multiply
    9,695.46x = 13,371.57 × 7,923.99
  4. Step 4: Simplify right side
    9,695.46x = 105,956,186.96
  5. Step 5: Solve for x
    x = 105,956,186.96/9,695.46
  6. Step 6: Final answer
    x = 10,928.43

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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.