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Finding the Fourth Proportional to 6,171.45, 9,235.65 and 5,047.88

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Solution

The fourth proportional to 6,171.45, 9,235.65 and 5,047.88 is: 7,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.45 : 9,235.65 = 5,047.88 : x
  2. Step 2: Convert to fraction form
    6,171.45/9,235.65 = 5,047.88/x
  3. Step 3: Cross multiply
    6,171.45x = 9,235.65 × 5,047.88
  4. Step 4: Simplify right side
    6,171.45x = 46,620,416.14
  5. Step 5: Solve for x
    x = 46,620,416.14/6,171.45
  6. Step 6: Final answer
    x = 7,554.21

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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.