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Finding the Fourth Proportional to 6,158.40, 9,237.60 and 2,265.60

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Solution

The fourth proportional to 6,158.40, 9,237.60 and 2,265.60 is: 3,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.40 : 9,237.60 = 2,265.60 : x
  2. Step 2: Convert to fraction form
    6,158.40/9,237.60 = 2,265.60/x
  3. Step 3: Cross multiply
    6,158.40x = 9,237.60 × 2,265.60
  4. Step 4: Simplify right side
    6,158.40x = 20,928,706.56
  5. Step 5: Solve for x
    x = 20,928,706.56/6,158.40
  6. Step 6: Final answer
    x = 3,398.40

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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.