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Finding the Fourth Proportional to 9,218.53, 12,717.97 and 5,184.46

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Solution

The fourth proportional to 9,218.53, 12,717.97 and 5,184.46 is: 7,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.53 : 12,717.97 = 5,184.46 : x
  2. Step 2: Convert to fraction form
    9,218.53/12,717.97 = 5,184.46/x
  3. Step 3: Cross multiply
    9,218.53x = 12,717.97 × 5,184.46
  4. Step 4: Simplify right side
    9,218.53x = 65,935,806.75
  5. Step 5: Solve for x
    x = 65,935,806.75/9,218.53
  6. Step 6: Final answer
    x = 7,152.53

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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.