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Finding the Fourth Proportional to 9,429.97, 12,992.64 and 7,029.73

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Solution

The fourth proportional to 9,429.97, 12,992.64 and 7,029.73 is: 9,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.97 : 12,992.64 = 7,029.73 : x
  2. Step 2: Convert to fraction form
    9,429.97/12,992.64 = 7,029.73/x
  3. Step 3: Cross multiply
    9,429.97x = 12,992.64 × 7,029.73
  4. Step 4: Simplify right side
    9,429.97x = 91,334,751.19
  5. Step 5: Solve for x
    x = 91,334,751.19/9,429.97
  6. Step 6: Final answer
    x = 9,685.58

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