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Finding the Fourth Proportional to 6,486.06, 9,725.42 and 3,674.54

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Solution

The fourth proportional to 6,486.06, 9,725.42 and 3,674.54 is: 5,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.06 : 9,725.42 = 3,674.54 : x
  2. Step 2: Convert to fraction form
    6,486.06/9,725.42 = 3,674.54/x
  3. Step 3: Cross multiply
    6,486.06x = 9,725.42 × 3,674.54
  4. Step 4: Simplify right side
    6,486.06x = 35,736,444.81
  5. Step 5: Solve for x
    x = 35,736,444.81/6,486.06
  6. Step 6: Final answer
    x = 5,509.73

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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.