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Finding the Fourth Proportional to 6,171.81, 9,257.72 and 1,554.81

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Solution

The fourth proportional to 6,171.81, 9,257.72 and 1,554.81 is: 2,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.81 : 9,257.72 = 1,554.81 : x
  2. Step 2: Convert to fraction form
    6,171.81/9,257.72 = 1,554.81/x
  3. Step 3: Cross multiply
    6,171.81x = 9,257.72 × 1,554.81
  4. Step 4: Simplify right side
    6,171.81x = 14,393,995.63
  5. Step 5: Solve for x
    x = 14,393,995.63/6,171.81
  6. Step 6: Final answer
    x = 2,332.22

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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.