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Finding the Fourth Proportional to 7,142.94, 9,858.66 and 4,310.79

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Solution

The fourth proportional to 7,142.94, 9,858.66 and 4,310.79 is: 5,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.94 : 9,858.66 = 4,310.79 : x
  2. Step 2: Convert to fraction form
    7,142.94/9,858.66 = 4,310.79/x
  3. Step 3: Cross multiply
    7,142.94x = 9,858.66 × 4,310.79
  4. Step 4: Simplify right side
    7,142.94x = 42,498,612.94
  5. Step 5: Solve for x
    x = 42,498,612.94/7,142.94
  6. Step 6: Final answer
    x = 5,949.74

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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.