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Finding the Fourth Proportional to 6,342.80, 9,503.40 and 5,241.20

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Solution

The fourth proportional to 6,342.80, 9,503.40 and 5,241.20 is: 7,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.80 : 9,503.40 = 5,241.20 : x
  2. Step 2: Convert to fraction form
    6,342.80/9,503.40 = 5,241.20/x
  3. Step 3: Cross multiply
    6,342.80x = 9,503.40 × 5,241.20
  4. Step 4: Simplify right side
    6,342.80x = 49,809,220.08
  5. Step 5: Solve for x
    x = 49,809,220.08/6,342.80
  6. Step 6: Final answer
    x = 7,852.88

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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.