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Finding the Fourth Proportional to 7,142.30, 9,859.20 and 4,787.63

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Solution

The fourth proportional to 7,142.30, 9,859.20 and 4,787.63 is: 6,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.30 : 9,859.20 = 4,787.63 : x
  2. Step 2: Convert to fraction form
    7,142.30/9,859.20 = 4,787.63/x
  3. Step 3: Cross multiply
    7,142.30x = 9,859.20 × 4,787.63
  4. Step 4: Simplify right side
    7,142.30x = 47,202,201.70
  5. Step 5: Solve for x
    x = 47,202,201.70/7,142.30
  6. Step 6: Final answer
    x = 6,608.82

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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.