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Finding the Fourth Proportional to 7,192.25, 9,926.68 and 4,361.17

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Solution

The fourth proportional to 7,192.25, 9,926.68 and 4,361.17 is: 6,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.25 : 9,926.68 = 4,361.17 : x
  2. Step 2: Convert to fraction form
    7,192.25/9,926.68 = 4,361.17/x
  3. Step 3: Cross multiply
    7,192.25x = 9,926.68 × 4,361.17
  4. Step 4: Simplify right side
    7,192.25x = 43,291,903.30
  5. Step 5: Solve for x
    x = 43,291,903.30/7,192.25
  6. Step 6: Final answer
    x = 6,019.25

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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.