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Finding the Fourth Proportional to 6,176.80, 9,257.01 and 3,257.17

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Solution

The fourth proportional to 6,176.80, 9,257.01 and 3,257.17 is: 4,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.80 : 9,257.01 = 3,257.17 : x
  2. Step 2: Convert to fraction form
    6,176.80/9,257.01 = 3,257.17/x
  3. Step 3: Cross multiply
    6,176.80x = 9,257.01 × 3,257.17
  4. Step 4: Simplify right side
    6,176.80x = 30,151,655.26
  5. Step 5: Solve for x
    x = 30,151,655.26/6,176.80
  6. Step 6: Final answer
    x = 4,881.44

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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.