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Finding the Fourth Proportional to 9,140.94, 12,614.40 and 5,161.82

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Solution

The fourth proportional to 9,140.94, 12,614.40 and 5,161.82 is: 7,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.94 : 12,614.40 = 5,161.82 : x
  2. Step 2: Convert to fraction form
    9,140.94/12,614.40 = 5,161.82/x
  3. Step 3: Cross multiply
    9,140.94x = 12,614.40 × 5,161.82
  4. Step 4: Simplify right side
    9,140.94x = 65,113,262.21
  5. Step 5: Solve for x
    x = 65,113,262.21/9,140.94
  6. Step 6: Final answer
    x = 7,123.26

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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.