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Finding the Fourth Proportional to 6,214.80, 9,311.40 and 3,903.60

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Solution

The fourth proportional to 6,214.80, 9,311.40 and 3,903.60 is: 5,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.80 : 9,311.40 = 3,903.60 : x
  2. Step 2: Convert to fraction form
    6,214.80/9,311.40 = 3,903.60/x
  3. Step 3: Cross multiply
    6,214.80x = 9,311.40 × 3,903.60
  4. Step 4: Simplify right side
    6,214.80x = 36,347,981.04
  5. Step 5: Solve for x
    x = 36,347,981.04/6,214.80
  6. Step 6: Final answer
    x = 5,848.62

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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.