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Finding the Fourth Proportional to 10,322.49, 14,250.94 and 6,795.95

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Solution

The fourth proportional to 10,322.49, 14,250.94 and 6,795.95 is: 9,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.49 : 14,250.94 = 6,795.95 : x
  2. Step 2: Convert to fraction form
    10,322.49/14,250.94 = 6,795.95/x
  3. Step 3: Cross multiply
    10,322.49x = 14,250.94 × 6,795.95
  4. Step 4: Simplify right side
    10,322.49x = 96,848,675.69
  5. Step 5: Solve for x
    x = 96,848,675.69/10,322.49
  6. Step 6: Final answer
    x = 9,382.30

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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.