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Finding the Fourth Proportional to 6,744.06, 9,305.91 and 4,091.58

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Solution

The fourth proportional to 6,744.06, 9,305.91 and 4,091.58 is: 5,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.06 : 9,305.91 = 4,091.58 : x
  2. Step 2: Convert to fraction form
    6,744.06/9,305.91 = 4,091.58/x
  3. Step 3: Cross multiply
    6,744.06x = 9,305.91 × 4,091.58
  4. Step 4: Simplify right side
    6,744.06x = 38,075,875.24
  5. Step 5: Solve for x
    x = 38,075,875.24/6,744.06
  6. Step 6: Final answer
    x = 5,645.84

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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.