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Finding the Fourth Proportional to 6,978.32, 9,628.56 and 3,995.09

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Solution

The fourth proportional to 6,978.32, 9,628.56 and 3,995.09 is: 5,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.32 : 9,628.56 = 3,995.09 : x
  2. Step 2: Convert to fraction form
    6,978.32/9,628.56 = 3,995.09/x
  3. Step 3: Cross multiply
    6,978.32x = 9,628.56 × 3,995.09
  4. Step 4: Simplify right side
    6,978.32x = 38,466,915.63
  5. Step 5: Solve for x
    x = 38,466,915.63/6,978.32
  6. Step 6: Final answer
    x = 5,512.35

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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.