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Finding the Fourth Proportional to 6,485.58, 9,727.71 and 2,325.42

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Solution

The fourth proportional to 6,485.58, 9,727.71 and 2,325.42 is: 3,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.58 : 9,727.71 = 2,325.42 : x
  2. Step 2: Convert to fraction form
    6,485.58/9,727.71 = 2,325.42/x
  3. Step 3: Cross multiply
    6,485.58x = 9,727.71 × 2,325.42
  4. Step 4: Simplify right side
    6,485.58x = 22,621,011.39
  5. Step 5: Solve for x
    x = 22,621,011.39/6,485.58
  6. Step 6: Final answer
    x = 3,487.89

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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.