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Finding the Fourth Proportional to 9,658.04, 14,494.34 and 7,067.66

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Solution

The fourth proportional to 9,658.04, 14,494.34 and 7,067.66 is: 10,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.04 : 14,494.34 = 7,067.66 : x
  2. Step 2: Convert to fraction form
    9,658.04/14,494.34 = 7,067.66/x
  3. Step 3: Cross multiply
    9,658.04x = 14,494.34 × 7,067.66
  4. Step 4: Simplify right side
    9,658.04x = 102,441,012.24
  5. Step 5: Solve for x
    x = 102,441,012.24/9,658.04
  6. Step 6: Final answer
    x = 10,606.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.