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Finding the Fourth Proportional to 9,144.40, 12,619.11 and 5,165.23

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Solution

The fourth proportional to 9,144.40, 12,619.11 and 5,165.23 is: 7,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.40 : 12,619.11 = 5,165.23 : x
  2. Step 2: Convert to fraction form
    9,144.40/12,619.11 = 5,165.23/x
  3. Step 3: Cross multiply
    9,144.40x = 12,619.11 × 5,165.23
  4. Step 4: Simplify right side
    9,144.40x = 65,180,605.55
  5. Step 5: Solve for x
    x = 65,180,605.55/9,144.40
  6. Step 6: Final answer
    x = 7,127.93

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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.