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Finding the Fourth Proportional to 6,076.08, 9,107.64 and 2,565.36

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Solution

The fourth proportional to 6,076.08, 9,107.64 and 2,565.36 is: 3,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.08 : 9,107.64 = 2,565.36 : x
  2. Step 2: Convert to fraction form
    6,076.08/9,107.64 = 2,565.36/x
  3. Step 3: Cross multiply
    6,076.08x = 9,107.64 × 2,565.36
  4. Step 4: Simplify right side
    6,076.08x = 23,364,375.35
  5. Step 5: Solve for x
    x = 23,364,375.35/6,076.08
  6. Step 6: Final answer
    x = 3,845.30

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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.