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Finding the Fourth Proportional to 9,933.50, 14,906.40 and 5,775.46

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Solution

The fourth proportional to 9,933.50, 14,906.40 and 5,775.46 is: 8,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.50 : 14,906.40 = 5,775.46 : x
  2. Step 2: Convert to fraction form
    9,933.50/14,906.40 = 5,775.46/x
  3. Step 3: Cross multiply
    9,933.50x = 14,906.40 × 5,775.46
  4. Step 4: Simplify right side
    9,933.50x = 86,091,316.94
  5. Step 5: Solve for x
    x = 86,091,316.94/9,933.50
  6. Step 6: Final answer
    x = 8,666.77

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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.