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Finding the Fourth Proportional to 9,777.78, 14,667.89 and 3,204.63

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Solution

The fourth proportional to 9,777.78, 14,667.89 and 3,204.63 is: 4,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.78 : 14,667.89 = 3,204.63 : x
  2. Step 2: Convert to fraction form
    9,777.78/14,667.89 = 3,204.63/x
  3. Step 3: Cross multiply
    9,777.78x = 14,667.89 × 3,204.63
  4. Step 4: Simplify right side
    9,777.78x = 47,005,144.31
  5. Step 5: Solve for x
    x = 47,005,144.31/9,777.78
  6. Step 6: Final answer
    x = 4,807.34

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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.