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Finding the Fourth Proportional to 9,434.39, 13,032.73 and 8,936.16

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Solution

The fourth proportional to 9,434.39, 13,032.73 and 8,936.16 is: 12,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.39 : 13,032.73 = 8,936.16 : x
  2. Step 2: Convert to fraction form
    9,434.39/13,032.73 = 8,936.16/x
  3. Step 3: Cross multiply
    9,434.39x = 13,032.73 × 8,936.16
  4. Step 4: Simplify right side
    9,434.39x = 116,462,515.84
  5. Step 5: Solve for x
    x = 116,462,515.84/9,434.39
  6. Step 6: Final answer
    x = 12,344.47

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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.