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Finding the Fourth Proportional to 6,394.80, 9,592.20 and 5,228.40

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Solution

The fourth proportional to 6,394.80, 9,592.20 and 5,228.40 is: 7,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.80 : 9,592.20 = 5,228.40 : x
  2. Step 2: Convert to fraction form
    6,394.80/9,592.20 = 5,228.40/x
  3. Step 3: Cross multiply
    6,394.80x = 9,592.20 × 5,228.40
  4. Step 4: Simplify right side
    6,394.80x = 50,151,858.48
  5. Step 5: Solve for x
    x = 50,151,858.48/6,394.80
  6. Step 6: Final answer
    x = 7,842.60

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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.