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Finding the Fourth Proportional to 6,171.46, 9,235.66 and 5,047.89

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Solution

The fourth proportional to 6,171.46, 9,235.66 and 5,047.89 is: 7,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.46 : 9,235.66 = 5,047.89 : x
  2. Step 2: Convert to fraction form
    6,171.46/9,235.66 = 5,047.89/x
  3. Step 3: Cross multiply
    6,171.46x = 9,235.66 × 5,047.89
  4. Step 4: Simplify right side
    6,171.46x = 46,620,536.96
  5. Step 5: Solve for x
    x = 46,620,536.96/6,171.46
  6. Step 6: Final answer
    x = 7,554.22

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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.