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Finding the Fourth Proportional to 10,096.93, 13,923.73 and 6,739.89

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Solution

The fourth proportional to 10,096.93, 13,923.73 and 6,739.89 is: 9,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.93 : 13,923.73 = 6,739.89 : x
  2. Step 2: Convert to fraction form
    10,096.93/13,923.73 = 6,739.89/x
  3. Step 3: Cross multiply
    10,096.93x = 13,923.73 × 6,739.89
  4. Step 4: Simplify right side
    10,096.93x = 93,844,408.59
  5. Step 5: Solve for x
    x = 93,844,408.59/10,096.93
  6. Step 6: Final answer
    x = 9,294.35

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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.