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Finding the Fourth Proportional to 31,004.36, 46,513.83 and 9,656

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Solution

The fourth proportional to 31,004.36, 46,513.83 and 9,656 is: 14,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.36 : 46,513.83 = 9,656 : x
  2. Step 2: Convert to fraction form
    31,004.36/46,513.83 = 9,656/x
  3. Step 3: Cross multiply
    31,004.36x = 46,513.83 × 9,656
  4. Step 4: Simplify right side
    31,004.36x = 449,137,542.48
  5. Step 5: Solve for x
    x = 449,137,542.48/31,004.36
  6. Step 6: Final answer
    x = 14,486.27

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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.