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Finding the Fourth Proportional to 9,411.12, 12,986.62 and 5,161.48

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Solution

The fourth proportional to 9,411.12, 12,986.62 and 5,161.48 is: 7,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.12 : 12,986.62 = 5,161.48 : x
  2. Step 2: Convert to fraction form
    9,411.12/12,986.62 = 5,161.48/x
  3. Step 3: Cross multiply
    9,411.12x = 12,986.62 × 5,161.48
  4. Step 4: Simplify right side
    9,411.12x = 67,030,179.40
  5. Step 5: Solve for x
    x = 67,030,179.40/9,411.12
  6. Step 6: Final answer
    x = 7,122.44

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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.