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Finding the Fourth Proportional to 9,426.54, 14,032.05 and 9,286.41

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Solution

The fourth proportional to 9,426.54, 14,032.05 and 9,286.41 is: 13,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.54 : 14,032.05 = 9,286.41 : x
  2. Step 2: Convert to fraction form
    9,426.54/14,032.05 = 9,286.41/x
  3. Step 3: Cross multiply
    9,426.54x = 14,032.05 × 9,286.41
  4. Step 4: Simplify right side
    9,426.54x = 130,307,369.44
  5. Step 5: Solve for x
    x = 130,307,369.44/9,426.54
  6. Step 6: Final answer
    x = 13,823.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.