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Finding the Fourth Proportional to 9,332.75, 12,879.19 and 5,141.00

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Solution

The fourth proportional to 9,332.75, 12,879.19 and 5,141.00 is: 7,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.75 : 12,879.19 = 5,141.00 : x
  2. Step 2: Convert to fraction form
    9,332.75/12,879.19 = 5,141.00/x
  3. Step 3: Cross multiply
    9,332.75x = 12,879.19 × 5,141.00
  4. Step 4: Simplify right side
    9,332.75x = 66,211,825.69
  5. Step 5: Solve for x
    x = 66,211,825.69/9,332.75
  6. Step 6: Final answer
    x = 7,094.57

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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.