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Finding the Fourth Proportional to 9,717.16, 13,411.18 and 5,942.56

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Solution

The fourth proportional to 9,717.16, 13,411.18 and 5,942.56 is: 8,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.16 : 13,411.18 = 5,942.56 : x
  2. Step 2: Convert to fraction form
    9,717.16/13,411.18 = 5,942.56/x
  3. Step 3: Cross multiply
    9,717.16x = 13,411.18 × 5,942.56
  4. Step 4: Simplify right side
    9,717.16x = 79,696,741.82
  5. Step 5: Solve for x
    x = 79,696,741.82/9,717.16
  6. Step 6: Final answer
    x = 8,201.65

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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.