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Finding the Fourth Proportional to 6,507.33, 9,766.01 and 3,388.13

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Solution

The fourth proportional to 6,507.33, 9,766.01 and 3,388.13 is: 5,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.33 : 9,766.01 = 3,388.13 : x
  2. Step 2: Convert to fraction form
    6,507.33/9,766.01 = 3,388.13/x
  3. Step 3: Cross multiply
    6,507.33x = 9,766.01 × 3,388.13
  4. Step 4: Simplify right side
    6,507.33x = 33,088,477.45
  5. Step 5: Solve for x
    x = 33,088,477.45/6,507.33
  6. Step 6: Final answer
    x = 5,084.80

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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.