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Finding the Fourth Proportional to 10,356.36, 14,195.00 and 9,982.29

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Solution

The fourth proportional to 10,356.36, 14,195.00 and 9,982.29 is: 13,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.36 : 14,195.00 = 9,982.29 : x
  2. Step 2: Convert to fraction form
    10,356.36/14,195.00 = 9,982.29/x
  3. Step 3: Cross multiply
    10,356.36x = 14,195.00 × 9,982.29
  4. Step 4: Simplify right side
    10,356.36x = 141,698,548.74
  5. Step 5: Solve for x
    x = 141,698,548.74/10,356.36
  6. Step 6: Final answer
    x = 13,682.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.