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Finding the Fourth Proportional to 10,361.13, 14,296.34 and 7,169.46

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Solution

The fourth proportional to 10,361.13, 14,296.34 and 7,169.46 is: 9,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.13 : 14,296.34 = 7,169.46 : x
  2. Step 2: Convert to fraction form
    10,361.13/14,296.34 = 7,169.46/x
  3. Step 3: Cross multiply
    10,361.13x = 14,296.34 × 7,169.46
  4. Step 4: Simplify right side
    10,361.13x = 102,497,001.93
  5. Step 5: Solve for x
    x = 102,497,001.93/10,361.13
  6. Step 6: Final answer
    x = 9,892.45

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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.