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Finding the Fourth Proportional to 6,076.32, 9,115.76 and 1,972

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Solution

The fourth proportional to 6,076.32, 9,115.76 and 1,972 is: 2,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.32 : 9,115.76 = 1,972 : x
  2. Step 2: Convert to fraction form
    6,076.32/9,115.76 = 1,972/x
  3. Step 3: Cross multiply
    6,076.32x = 9,115.76 × 1,972
  4. Step 4: Simplify right side
    6,076.32x = 17,976,278.72
  5. Step 5: Solve for x
    x = 17,976,278.72/6,076.32
  6. Step 6: Final answer
    x = 2,958.42

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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.