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Finding the Fourth Proportional to 9,775.49, 14,660.14 and 3,200.16

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Solution

The fourth proportional to 9,775.49, 14,660.14 and 3,200.16 is: 4,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.49 : 14,660.14 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    9,775.49/14,660.14 = 3,200.16/x
  3. Step 3: Cross multiply
    9,775.49x = 14,660.14 × 3,200.16
  4. Step 4: Simplify right side
    9,775.49x = 46,914,764.13
  5. Step 5: Solve for x
    x = 46,914,764.13/9,775.49
  6. Step 6: Final answer
    x = 4,799.23

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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.