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Finding the Fourth Proportional to 9,778.89, 14,670.46 and 3,204.83

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Solution

The fourth proportional to 9,778.89, 14,670.46 and 3,204.83 is: 4,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.89 : 14,670.46 = 3,204.83 : x
  2. Step 2: Convert to fraction form
    9,778.89/14,670.46 = 3,204.83/x
  3. Step 3: Cross multiply
    9,778.89x = 14,670.46 × 3,204.83
  4. Step 4: Simplify right side
    9,778.89x = 47,016,330.32
  5. Step 5: Solve for x
    x = 47,016,330.32/9,778.89
  6. Step 6: Final answer
    x = 4,807.94

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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.