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Finding the Fourth Proportional to 9,144.38, 12,619.59 and 5,165.93

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Solution

The fourth proportional to 9,144.38, 12,619.59 and 5,165.93 is: 7,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.38 : 12,619.59 = 5,165.93 : x
  2. Step 2: Convert to fraction form
    9,144.38/12,619.59 = 5,165.93/x
  3. Step 3: Cross multiply
    9,144.38x = 12,619.59 × 5,165.93
  4. Step 4: Simplify right side
    9,144.38x = 65,191,918.57
  5. Step 5: Solve for x
    x = 65,191,918.57/9,144.38
  6. Step 6: Final answer
    x = 7,129.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.