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Finding the Fourth Proportional to 7,171.20, 9,894.53 and 4,185.33

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Solution

The fourth proportional to 7,171.20, 9,894.53 and 4,185.33 is: 5,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.20 : 9,894.53 = 4,185.33 : x
  2. Step 2: Convert to fraction form
    7,171.20/9,894.53 = 4,185.33/x
  3. Step 3: Cross multiply
    7,171.20x = 9,894.53 × 4,185.33
  4. Step 4: Simplify right side
    7,171.20x = 41,411,852.32
  5. Step 5: Solve for x
    x = 41,411,852.32/7,171.20
  6. Step 6: Final answer
    x = 5,774.75

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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.