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Finding the Fourth Proportional to 9,143.40, 12,617.73 and 5,164.23

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Solution

The fourth proportional to 9,143.40, 12,617.73 and 5,164.23 is: 7,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.40 : 12,617.73 = 5,164.23 : x
  2. Step 2: Convert to fraction form
    9,143.40/12,617.73 = 5,164.23/x
  3. Step 3: Cross multiply
    9,143.40x = 12,617.73 × 5,164.23
  4. Step 4: Simplify right side
    9,143.40x = 65,160,859.80
  5. Step 5: Solve for x
    x = 65,160,859.80/9,143.40
  6. Step 6: Final answer
    x = 7,126.55

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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.