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Finding the Fourth Proportional to 9,607.80, 14,412.89 and 3,283.73

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Solution

The fourth proportional to 9,607.80, 14,412.89 and 3,283.73 is: 4,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.80 : 14,412.89 = 3,283.73 : x
  2. Step 2: Convert to fraction form
    9,607.80/14,412.89 = 3,283.73/x
  3. Step 3: Cross multiply
    9,607.80x = 14,412.89 × 3,283.73
  4. Step 4: Simplify right side
    9,607.80x = 47,328,039.28
  5. Step 5: Solve for x
    x = 47,328,039.28/9,607.80
  6. Step 6: Final answer
    x = 4,926.00

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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.