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Finding the Fourth Proportional to 9,185.84, 13,779.30 and 3,029.84

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Solution

The fourth proportional to 9,185.84, 13,779.30 and 3,029.84 is: 4,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.84 : 13,779.30 = 3,029.84 : x
  2. Step 2: Convert to fraction form
    9,185.84/13,779.30 = 3,029.84/x
  3. Step 3: Cross multiply
    9,185.84x = 13,779.30 × 3,029.84
  4. Step 4: Simplify right side
    9,185.84x = 41,749,074.31
  5. Step 5: Solve for x
    x = 41,749,074.31/9,185.84
  6. Step 6: Final answer
    x = 4,544.94

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Why These Related Problems?

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