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Finding the Fourth Proportional to 9,648.42, 14,485.70 and 6,679.73

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Solution

The fourth proportional to 9,648.42, 14,485.70 and 6,679.73 is: 10,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.42 : 14,485.70 = 6,679.73 : x
  2. Step 2: Convert to fraction form
    9,648.42/14,485.70 = 6,679.73/x
  3. Step 3: Cross multiply
    9,648.42x = 14,485.70 × 6,679.73
  4. Step 4: Simplify right side
    9,648.42x = 96,760,617.77
  5. Step 5: Solve for x
    x = 96,760,617.77/9,648.42
  6. Step 6: Final answer
    x = 10,028.65

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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.