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Finding the Fourth Proportional to 9,929.62, 13,695.28 and 6,745.37

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Solution

The fourth proportional to 9,929.62, 13,695.28 and 6,745.37 is: 9,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.62 : 13,695.28 = 6,745.37 : x
  2. Step 2: Convert to fraction form
    9,929.62/13,695.28 = 6,745.37/x
  3. Step 3: Cross multiply
    9,929.62x = 13,695.28 × 6,745.37
  4. Step 4: Simplify right side
    9,929.62x = 92,379,662.38
  5. Step 5: Solve for x
    x = 92,379,662.38/9,929.62
  6. Step 6: Final answer
    x = 9,303.45

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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.