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Finding the Fourth Proportional to 9,195.25, 13,775.46 and 5,435.77

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Solution

The fourth proportional to 9,195.25, 13,775.46 and 5,435.77 is: 8,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.25 : 13,775.46 = 5,435.77 : x
  2. Step 2: Convert to fraction form
    9,195.25/13,775.46 = 5,435.77/x
  3. Step 3: Cross multiply
    9,195.25x = 13,775.46 × 5,435.77
  4. Step 4: Simplify right side
    9,195.25x = 74,880,232.20
  5. Step 5: Solve for x
    x = 74,880,232.20/9,195.25
  6. Step 6: Final answer
    x = 8,143.36

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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.