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Finding the Fourth Proportional to 10,133.50, 13,967.50 and 6,775.09

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Solution

The fourth proportional to 10,133.50, 13,967.50 and 6,775.09 is: 9,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.50 : 13,967.50 = 6,775.09 : x
  2. Step 2: Convert to fraction form
    10,133.50/13,967.50 = 6,775.09/x
  3. Step 3: Cross multiply
    10,133.50x = 13,967.50 × 6,775.09
  4. Step 4: Simplify right side
    10,133.50x = 94,631,008.69
  5. Step 5: Solve for x
    x = 94,631,008.69/10,133.50
  6. Step 6: Final answer
    x = 9,338.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.