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Finding the Fourth Proportional to 9,474.53, 14,211.81 and 9,246.17

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Solution

The fourth proportional to 9,474.53, 14,211.81 and 9,246.17 is: 13,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.53 : 14,211.81 = 9,246.17 : x
  2. Step 2: Convert to fraction form
    9,474.53/14,211.81 = 9,246.17/x
  3. Step 3: Cross multiply
    9,474.53x = 14,211.81 × 9,246.17
  4. Step 4: Simplify right side
    9,474.53x = 131,404,740.21
  5. Step 5: Solve for x
    x = 131,404,740.21/9,474.53
  6. Step 6: Final answer
    x = 13,869.27

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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.