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Finding the Fourth Proportional to 9,493, 13,100.06 and 5,513.84

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Solution

The fourth proportional to 9,493, 13,100.06 and 5,513.84 is: 7,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 13,100.06 = 5,513.84 : x
  2. Step 2: Convert to fraction form
    9,493/13,100.06 = 5,513.84/x
  3. Step 3: Cross multiply
    9,493x = 13,100.06 × 5,513.84
  4. Step 4: Simplify right side
    9,493x = 72,231,634.83
  5. Step 5: Solve for x
    x = 72,231,634.83/9,493
  6. Step 6: Final answer
    x = 7,608.94

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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.