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Finding the Fourth Proportional to 10,447.69, 14,419.94 and 7,091.59

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Solution

The fourth proportional to 10,447.69, 14,419.94 and 7,091.59 is: 9,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.69 : 14,419.94 = 7,091.59 : x
  2. Step 2: Convert to fraction form
    10,447.69/14,419.94 = 7,091.59/x
  3. Step 3: Cross multiply
    10,447.69x = 14,419.94 × 7,091.59
  4. Step 4: Simplify right side
    10,447.69x = 102,260,297.72
  5. Step 5: Solve for x
    x = 102,260,297.72/10,447.69
  6. Step 6: Final answer
    x = 9,787.84

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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.