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Finding the Fourth Proportional to 9,773.67, 14,663.24 and 3,204.48

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Solution

The fourth proportional to 9,773.67, 14,663.24 and 3,204.48 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.67 : 14,663.24 = 3,204.48 : x
  2. Step 2: Convert to fraction form
    9,773.67/14,663.24 = 3,204.48/x
  3. Step 3: Cross multiply
    9,773.67x = 14,663.24 × 3,204.48
  4. Step 4: Simplify right side
    9,773.67x = 46,988,059.32
  5. Step 5: Solve for x
    x = 46,988,059.32/9,773.67
  6. Step 6: Final answer
    x = 4,807.62

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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.