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Finding the Fourth Proportional to 6,178.40, 9,270.16 and 3,259.28

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Solution

The fourth proportional to 6,178.40, 9,270.16 and 3,259.28 is: 4,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.40 : 9,270.16 = 3,259.28 : x
  2. Step 2: Convert to fraction form
    6,178.40/9,270.16 = 3,259.28/x
  3. Step 3: Cross multiply
    6,178.40x = 9,270.16 × 3,259.28
  4. Step 4: Simplify right side
    6,178.40x = 30,214,047.08
  5. Step 5: Solve for x
    x = 30,214,047.08/6,178.40
  6. Step 6: Final answer
    x = 4,890.27

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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.