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Finding the Fourth Proportional to 9,119.26, 13,655.16 and 7,811.40

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Solution

The fourth proportional to 9,119.26, 13,655.16 and 7,811.40 is: 11,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.26 : 13,655.16 = 7,811.40 : x
  2. Step 2: Convert to fraction form
    9,119.26/13,655.16 = 7,811.40/x
  3. Step 3: Cross multiply
    9,119.26x = 13,655.16 × 7,811.40
  4. Step 4: Simplify right side
    9,119.26x = 106,665,916.82
  5. Step 5: Solve for x
    x = 106,665,916.82/9,119.26
  6. Step 6: Final answer
    x = 11,696.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.