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Finding the Fourth Proportional to 6,533.94, 9,019.29 and 3,882.66

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Solution

The fourth proportional to 6,533.94, 9,019.29 and 3,882.66 is: 5,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.94 : 9,019.29 = 3,882.66 : x
  2. Step 2: Convert to fraction form
    6,533.94/9,019.29 = 3,882.66/x
  3. Step 3: Cross multiply
    6,533.94x = 9,019.29 × 3,882.66
  4. Step 4: Simplify right side
    6,533.94x = 35,018,836.51
  5. Step 5: Solve for x
    x = 35,018,836.51/6,533.94
  6. Step 6: Final answer
    x = 5,359.53

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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.