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Finding the Fourth Proportional to 9,717.85, 14,564.72 and 6,902.19

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Solution

The fourth proportional to 9,717.85, 14,564.72 and 6,902.19 is: 10,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.85 : 14,564.72 = 6,902.19 : x
  2. Step 2: Convert to fraction form
    9,717.85/14,564.72 = 6,902.19/x
  3. Step 3: Cross multiply
    9,717.85x = 14,564.72 × 6,902.19
  4. Step 4: Simplify right side
    9,717.85x = 100,528,481.99
  5. Step 5: Solve for x
    x = 100,528,481.99/9,717.85
  6. Step 6: Final answer
    x = 10,344.73

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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.