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Finding the Fourth Proportional to 9,729.16, 13,423.12 and 5,751.61

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Solution

The fourth proportional to 9,729.16, 13,423.12 and 5,751.61 is: 7,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.16 : 13,423.12 = 5,751.61 : x
  2. Step 2: Convert to fraction form
    9,729.16/13,423.12 = 5,751.61/x
  3. Step 3: Cross multiply
    9,729.16x = 13,423.12 × 5,751.61
  4. Step 4: Simplify right side
    9,729.16x = 77,204,551.22
  5. Step 5: Solve for x
    x = 77,204,551.22/9,729.16
  6. Step 6: Final answer
    x = 7,935.38

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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.