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Finding the Fourth Proportional to 9,778.40, 14,667.60 and 3,204.80

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Solution

The fourth proportional to 9,778.40, 14,667.60 and 3,204.80 is: 4,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.40 : 14,667.60 = 3,204.80 : x
  2. Step 2: Convert to fraction form
    9,778.40/14,667.60 = 3,204.80/x
  3. Step 3: Cross multiply
    9,778.40x = 14,667.60 × 3,204.80
  4. Step 4: Simplify right side
    9,778.40x = 47,006,724.48
  5. Step 5: Solve for x
    x = 47,006,724.48/9,778.40
  6. Step 6: Final answer
    x = 4,807.20

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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.