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Finding the Fourth Proportional to 9,722.78, 13,419.36 and 6,315.03

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Solution

The fourth proportional to 9,722.78, 13,419.36 and 6,315.03 is: 8,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.78 : 13,419.36 = 6,315.03 : x
  2. Step 2: Convert to fraction form
    9,722.78/13,419.36 = 6,315.03/x
  3. Step 3: Cross multiply
    9,722.78x = 13,419.36 × 6,315.03
  4. Step 4: Simplify right side
    9,722.78x = 84,743,660.98
  5. Step 5: Solve for x
    x = 84,743,660.98/9,722.78
  6. Step 6: Final answer
    x = 8,715.99

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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.