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Finding the Fourth Proportional to 9,182.84, 12,672.27 and 5,204.72

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Solution

The fourth proportional to 9,182.84, 12,672.27 and 5,204.72 is: 7,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.84 : 12,672.27 = 5,204.72 : x
  2. Step 2: Convert to fraction form
    9,182.84/12,672.27 = 5,204.72/x
  3. Step 3: Cross multiply
    9,182.84x = 12,672.27 × 5,204.72
  4. Step 4: Simplify right side
    9,182.84x = 65,955,553.75
  5. Step 5: Solve for x
    x = 65,955,553.75/9,182.84
  6. Step 6: Final answer
    x = 7,182.48

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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.