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Finding the Fourth Proportional to 9,276.57, 13,917.14 and 2,702.82

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Solution

The fourth proportional to 9,276.57, 13,917.14 and 2,702.82 is: 4,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.57 : 13,917.14 = 2,702.82 : x
  2. Step 2: Convert to fraction form
    9,276.57/13,917.14 = 2,702.82/x
  3. Step 3: Cross multiply
    9,276.57x = 13,917.14 × 2,702.82
  4. Step 4: Simplify right side
    9,276.57x = 37,615,524.33
  5. Step 5: Solve for x
    x = 37,615,524.33/9,276.57
  6. Step 6: Final answer
    x = 4,054.90

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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.