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Finding the Fourth Proportional to 9,187.62, 12,676.83 and 5,207.82

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Solution

The fourth proportional to 9,187.62, 12,676.83 and 5,207.82 is: 7,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.62 : 12,676.83 = 5,207.82 : x
  2. Step 2: Convert to fraction form
    9,187.62/12,676.83 = 5,207.82/x
  3. Step 3: Cross multiply
    9,187.62x = 12,676.83 × 5,207.82
  4. Step 4: Simplify right side
    9,187.62x = 66,018,648.81
  5. Step 5: Solve for x
    x = 66,018,648.81/9,187.62
  6. Step 6: Final answer
    x = 7,185.61

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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.