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Finding the Fourth Proportional to 6,852.64, 9,456.28 and 4,019.62

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Solution

The fourth proportional to 6,852.64, 9,456.28 and 4,019.62 is: 5,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.64 : 9,456.28 = 4,019.62 : x
  2. Step 2: Convert to fraction form
    6,852.64/9,456.28 = 4,019.62/x
  3. Step 3: Cross multiply
    6,852.64x = 9,456.28 × 4,019.62
  4. Step 4: Simplify right side
    6,852.64x = 38,010,652.21
  5. Step 5: Solve for x
    x = 38,010,652.21/6,852.64
  6. Step 6: Final answer
    x = 5,546.86

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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.