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Finding the Fourth Proportional to 9,840.35, 14,769.19 and 5,163.70

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Solution

The fourth proportional to 9,840.35, 14,769.19 and 5,163.70 is: 7,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.35 : 14,769.19 = 5,163.70 : x
  2. Step 2: Convert to fraction form
    9,840.35/14,769.19 = 5,163.70/x
  3. Step 3: Cross multiply
    9,840.35x = 14,769.19 × 5,163.70
  4. Step 4: Simplify right side
    9,840.35x = 76,263,666.40
  5. Step 5: Solve for x
    x = 76,263,666.40/9,840.35
  6. Step 6: Final answer
    x = 7,750.10

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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.