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Finding the Fourth Proportional to 9,388.56, 14,069.68 and 7,299

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Solution

The fourth proportional to 9,388.56, 14,069.68 and 7,299 is: 10,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.56 : 14,069.68 = 7,299 : x
  2. Step 2: Convert to fraction form
    9,388.56/14,069.68 = 7,299/x
  3. Step 3: Cross multiply
    9,388.56x = 14,069.68 × 7,299
  4. Step 4: Simplify right side
    9,388.56x = 102,694,594.32
  5. Step 5: Solve for x
    x = 102,694,594.32/9,388.56
  6. Step 6: Final answer
    x = 10,938.27

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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.