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Finding the Fourth Proportional to 9,118.92, 13,676.10 and 2,544.84

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Solution

The fourth proportional to 9,118.92, 13,676.10 and 2,544.84 is: 3,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.92 : 13,676.10 = 2,544.84 : x
  2. Step 2: Convert to fraction form
    9,118.92/13,676.10 = 2,544.84/x
  3. Step 3: Cross multiply
    9,118.92x = 13,676.10 × 2,544.84
  4. Step 4: Simplify right side
    9,118.92x = 34,803,486.32
  5. Step 5: Solve for x
    x = 34,803,486.32/9,118.92
  6. Step 6: Final answer
    x = 3,816.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.