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Finding the Fourth Proportional to 9,218.66, 12,717.95 and 5,683.82

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Solution

The fourth proportional to 9,218.66, 12,717.95 and 5,683.82 is: 7,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.66 : 12,717.95 = 5,683.82 : x
  2. Step 2: Convert to fraction form
    9,218.66/12,717.95 = 5,683.82/x
  3. Step 3: Cross multiply
    9,218.66x = 12,717.95 × 5,683.82
  4. Step 4: Simplify right side
    9,218.66x = 72,286,446.56
  5. Step 5: Solve for x
    x = 72,286,446.56/9,218.66
  6. Step 6: Final answer
    x = 7,841.32

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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.