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Finding the Fourth Proportional to 10,433.07, 14,392.81 and 9,239.28

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Solution

The fourth proportional to 10,433.07, 14,392.81 and 9,239.28 is: 12,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.07 : 14,392.81 = 9,239.28 : x
  2. Step 2: Convert to fraction form
    10,433.07/14,392.81 = 9,239.28/x
  3. Step 3: Cross multiply
    10,433.07x = 14,392.81 × 9,239.28
  4. Step 4: Simplify right side
    10,433.07x = 132,979,201.58
  5. Step 5: Solve for x
    x = 132,979,201.58/10,433.07
  6. Step 6: Final answer
    x = 12,745.93

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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.