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Finding the Fourth Proportional to 6,475.14, 9,713.31 and 2,776.54

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Solution

The fourth proportional to 6,475.14, 9,713.31 and 2,776.54 is: 4,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.14 : 9,713.31 = 2,776.54 : x
  2. Step 2: Convert to fraction form
    6,475.14/9,713.31 = 2,776.54/x
  3. Step 3: Cross multiply
    6,475.14x = 9,713.31 × 2,776.54
  4. Step 4: Simplify right side
    6,475.14x = 26,969,393.75
  5. Step 5: Solve for x
    x = 26,969,393.75/6,475.14
  6. Step 6: Final answer
    x = 4,165.07

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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.