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Finding the Fourth Proportional to 7,080.75, 9,773.87 and 4,286.25

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Solution

The fourth proportional to 7,080.75, 9,773.87 and 4,286.25 is: 5,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.75 : 9,773.87 = 4,286.25 : x
  2. Step 2: Convert to fraction form
    7,080.75/9,773.87 = 4,286.25/x
  3. Step 3: Cross multiply
    7,080.75x = 9,773.87 × 4,286.25
  4. Step 4: Simplify right side
    7,080.75x = 41,893,228.86
  5. Step 5: Solve for x
    x = 41,893,228.86/7,080.75
  6. Step 6: Final answer
    x = 5,916.50

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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.