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Finding the Fourth Proportional to 9,326.84, 13,986.14 and 4,943.30

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Solution

The fourth proportional to 9,326.84, 13,986.14 and 4,943.30 is: 7,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.84 : 13,986.14 = 4,943.30 : x
  2. Step 2: Convert to fraction form
    9,326.84/13,986.14 = 4,943.30/x
  3. Step 3: Cross multiply
    9,326.84x = 13,986.14 × 4,943.30
  4. Step 4: Simplify right side
    9,326.84x = 69,137,591.21
  5. Step 5: Solve for x
    x = 69,137,591.21/9,326.84
  6. Step 6: Final answer
    x = 7,412.76

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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.