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Finding the Fourth Proportional to 9,205.78, 13,810.35 and 3,366.58

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Solution

The fourth proportional to 9,205.78, 13,810.35 and 3,366.58 is: 5,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.78 : 13,810.35 = 3,366.58 : x
  2. Step 2: Convert to fraction form
    9,205.78/13,810.35 = 3,366.58/x
  3. Step 3: Cross multiply
    9,205.78x = 13,810.35 × 3,366.58
  4. Step 4: Simplify right side
    9,205.78x = 46,493,648.10
  5. Step 5: Solve for x
    x = 46,493,648.10/9,205.78
  6. Step 6: Final answer
    x = 5,050.48

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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.