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Finding the Fourth Proportional to 9,911.93, 13,679.09 and 6,548.84

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Solution

The fourth proportional to 9,911.93, 13,679.09 and 6,548.84 is: 9,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.93 : 13,679.09 = 6,548.84 : x
  2. Step 2: Convert to fraction form
    9,911.93/13,679.09 = 6,548.84/x
  3. Step 3: Cross multiply
    9,911.93x = 13,679.09 × 6,548.84
  4. Step 4: Simplify right side
    9,911.93x = 89,582,171.76
  5. Step 5: Solve for x
    x = 89,582,171.76/9,911.93
  6. Step 6: Final answer
    x = 9,037.81

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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.