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Finding the Fourth Proportional to 13,114.71, 18,093.78 and 9,134.37

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Solution

The fourth proportional to 13,114.71, 18,093.78 and 9,134.37 is: 12,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.71 : 18,093.78 = 9,134.37 : x
  2. Step 2: Convert to fraction form
    13,114.71/18,093.78 = 9,134.37/x
  3. Step 3: Cross multiply
    13,114.71x = 18,093.78 × 9,134.37
  4. Step 4: Simplify right side
    13,114.71x = 165,275,281.22
  5. Step 5: Solve for x
    x = 165,275,281.22/13,114.71
  6. Step 6: Final answer
    x = 12,602.28

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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.