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Finding the Fourth Proportional to 7,164.84, 9,887.43 and 4,021.05

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Solution

The fourth proportional to 7,164.84, 9,887.43 and 4,021.05 is: 5,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.84 : 9,887.43 = 4,021.05 : x
  2. Step 2: Convert to fraction form
    7,164.84/9,887.43 = 4,021.05/x
  3. Step 3: Cross multiply
    7,164.84x = 9,887.43 × 4,021.05
  4. Step 4: Simplify right side
    7,164.84x = 39,757,850.40
  5. Step 5: Solve for x
    x = 39,757,850.40/7,164.84
  6. Step 6: Final answer
    x = 5,549.02

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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.