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Finding the Fourth Proportional to 9,656.68, 14,485.56 and 2,731

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Solution

The fourth proportional to 9,656.68, 14,485.56 and 2,731 is: 4,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.68 : 14,485.56 = 2,731 : x
  2. Step 2: Convert to fraction form
    9,656.68/14,485.56 = 2,731/x
  3. Step 3: Cross multiply
    9,656.68x = 14,485.56 × 2,731
  4. Step 4: Simplify right side
    9,656.68x = 39,560,064.36
  5. Step 5: Solve for x
    x = 39,560,064.36/9,656.68
  6. Step 6: Final answer
    x = 4,096.65

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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.