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Finding the Fourth Proportional to 9,379.75, 12,943.56 and 5,129.98

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Solution

The fourth proportional to 9,379.75, 12,943.56 and 5,129.98 is: 7,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.75 : 12,943.56 = 5,129.98 : x
  2. Step 2: Convert to fraction form
    9,379.75/12,943.56 = 5,129.98/x
  3. Step 3: Cross multiply
    9,379.75x = 12,943.56 × 5,129.98
  4. Step 4: Simplify right side
    9,379.75x = 66,400,203.93
  5. Step 5: Solve for x
    x = 66,400,203.93/9,379.75
  6. Step 6: Final answer
    x = 7,079.10

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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.