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Finding the Fourth Proportional to 9,769.98, 14,650.41 and 4,837.70

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Solution

The fourth proportional to 9,769.98, 14,650.41 and 4,837.70 is: 7,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.98 : 14,650.41 = 4,837.70 : x
  2. Step 2: Convert to fraction form
    9,769.98/14,650.41 = 4,837.70/x
  3. Step 3: Cross multiply
    9,769.98x = 14,650.41 × 4,837.70
  4. Step 4: Simplify right side
    9,769.98x = 70,874,215.20
  5. Step 5: Solve for x
    x = 70,874,215.20/9,769.98
  6. Step 6: Final answer
    x = 7,254.28

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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.