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Finding the Fourth Proportional to 9,936.51, 13,705.44 and 8,434.06

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Solution

The fourth proportional to 9,936.51, 13,705.44 and 8,434.06 is: 11,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.51 : 13,705.44 = 8,434.06 : x
  2. Step 2: Convert to fraction form
    9,936.51/13,705.44 = 8,434.06/x
  3. Step 3: Cross multiply
    9,936.51x = 13,705.44 × 8,434.06
  4. Step 4: Simplify right side
    9,936.51x = 115,592,437.40
  5. Step 5: Solve for x
    x = 115,592,437.40/9,936.51
  6. Step 6: Final answer
    x = 11,633.11

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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.