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Finding the Fourth Proportional to 9,717.45, 13,411.53 and 5,942.85

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Solution

The fourth proportional to 9,717.45, 13,411.53 and 5,942.85 is: 8,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.45 : 13,411.53 = 5,942.85 : x
  2. Step 2: Convert to fraction form
    9,717.45/13,411.53 = 5,942.85/x
  3. Step 3: Cross multiply
    9,717.45x = 13,411.53 × 5,942.85
  4. Step 4: Simplify right side
    9,717.45x = 79,702,711.06
  5. Step 5: Solve for x
    x = 79,702,711.06/9,717.45
  6. Step 6: Final answer
    x = 8,202.02

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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.