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Finding the Fourth Proportional to 7,170.22, 9,892.56 and 4,185.64

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Solution

The fourth proportional to 7,170.22, 9,892.56 and 4,185.64 is: 5,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.22 : 9,892.56 = 4,185.64 : x
  2. Step 2: Convert to fraction form
    7,170.22/9,892.56 = 4,185.64/x
  3. Step 3: Cross multiply
    7,170.22x = 9,892.56 × 4,185.64
  4. Step 4: Simplify right side
    7,170.22x = 41,406,694.84
  5. Step 5: Solve for x
    x = 41,406,694.84/7,170.22
  6. Step 6: Final answer
    x = 5,774.82

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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.