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Finding the Fourth Proportional to 9,672.68, 13,351.13 and 6,315.99

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Solution

The fourth proportional to 9,672.68, 13,351.13 and 6,315.99 is: 8,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.68 : 13,351.13 = 6,315.99 : x
  2. Step 2: Convert to fraction form
    9,672.68/13,351.13 = 6,315.99/x
  3. Step 3: Cross multiply
    9,672.68x = 13,351.13 × 6,315.99
  4. Step 4: Simplify right side
    9,672.68x = 84,325,644.39
  5. Step 5: Solve for x
    x = 84,325,644.39/9,672.68
  6. Step 6: Final answer
    x = 8,717.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.