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Finding the Fourth Proportional to 9,364.14, 14,046.12 and 3,816.18

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Solution

The fourth proportional to 9,364.14, 14,046.12 and 3,816.18 is: 5,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.14 : 14,046.12 = 3,816.18 : x
  2. Step 2: Convert to fraction form
    9,364.14/14,046.12 = 3,816.18/x
  3. Step 3: Cross multiply
    9,364.14x = 14,046.12 × 3,816.18
  4. Step 4: Simplify right side
    9,364.14x = 53,602,522.22
  5. Step 5: Solve for x
    x = 53,602,522.22/9,364.14
  6. Step 6: Final answer
    x = 5,724.23

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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.