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Finding the Fourth Proportional to 6,476.09, 9,715.05 and 3,189.22

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Solution

The fourth proportional to 6,476.09, 9,715.05 and 3,189.22 is: 4,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.09 : 9,715.05 = 3,189.22 : x
  2. Step 2: Convert to fraction form
    6,476.09/9,715.05 = 3,189.22/x
  3. Step 3: Cross multiply
    6,476.09x = 9,715.05 × 3,189.22
  4. Step 4: Simplify right side
    6,476.09x = 30,983,407.47
  5. Step 5: Solve for x
    x = 30,983,407.47/6,476.09
  6. Step 6: Final answer
    x = 4,784.28

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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.