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Finding the Fourth Proportional to 9,783.94, 14,677.14 and 3,208.36

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Solution

The fourth proportional to 9,783.94, 14,677.14 and 3,208.36 is: 4,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.94 : 14,677.14 = 3,208.36 : x
  2. Step 2: Convert to fraction form
    9,783.94/14,677.14 = 3,208.36/x
  3. Step 3: Cross multiply
    9,783.94x = 14,677.14 × 3,208.36
  4. Step 4: Simplify right side
    9,783.94x = 47,089,548.89
  5. Step 5: Solve for x
    x = 47,089,548.89/9,783.94
  6. Step 6: Final answer
    x = 4,812.94

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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.