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Finding the Fourth Proportional to 7,142.45, 9,854.20 and 4,157.65

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Solution

The fourth proportional to 7,142.45, 9,854.20 and 4,157.65 is: 5,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.45 : 9,854.20 = 4,157.65 : x
  2. Step 2: Convert to fraction form
    7,142.45/9,854.20 = 4,157.65/x
  3. Step 3: Cross multiply
    7,142.45x = 9,854.20 × 4,157.65
  4. Step 4: Simplify right side
    7,142.45x = 40,970,293.84
  5. Step 5: Solve for x
    x = 40,970,293.84/7,142.45
  6. Step 6: Final answer
    x = 5,736.17

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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.