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Finding the Fourth Proportional to 11,394.29, 15,716.36 and 9,899.57

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Solution

The fourth proportional to 11,394.29, 15,716.36 and 9,899.57 is: 13,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.29 : 15,716.36 = 9,899.57 : x
  2. Step 2: Convert to fraction form
    11,394.29/15,716.36 = 9,899.57/x
  3. Step 3: Cross multiply
    11,394.29x = 15,716.36 × 9,899.57
  4. Step 4: Simplify right side
    11,394.29x = 155,585,270.01
  5. Step 5: Solve for x
    x = 155,585,270.01/11,394.29
  6. Step 6: Final answer
    x = 13,654.67

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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.