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Finding the Fourth Proportional to 9,914.43, 13,681.81 and 5,438.17

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Solution

The fourth proportional to 9,914.43, 13,681.81 and 5,438.17 is: 7,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.43 : 13,681.81 = 5,438.17 : x
  2. Step 2: Convert to fraction form
    9,914.43/13,681.81 = 5,438.17/x
  3. Step 3: Cross multiply
    9,914.43x = 13,681.81 × 5,438.17
  4. Step 4: Simplify right side
    9,914.43x = 74,403,913.09
  5. Step 5: Solve for x
    x = 74,403,913.09/9,914.43
  6. Step 6: Final answer
    x = 7,504.61

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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.