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Finding the Fourth Proportional to 6,553.50, 9,835.31 and 4,891.78

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Solution

The fourth proportional to 6,553.50, 9,835.31 and 4,891.78 is: 7,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.50 : 9,835.31 = 4,891.78 : x
  2. Step 2: Convert to fraction form
    6,553.50/9,835.31 = 4,891.78/x
  3. Step 3: Cross multiply
    6,553.50x = 9,835.31 × 4,891.78
  4. Step 4: Simplify right side
    6,553.50x = 48,112,172.75
  5. Step 5: Solve for x
    x = 48,112,172.75/6,553.50
  6. Step 6: Final answer
    x = 7,341.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.