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Finding the Fourth Proportional to 9,485.98, 14,213.40 and 6,699.14

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Solution

The fourth proportional to 9,485.98, 14,213.40 and 6,699.14 is: 10,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.98 : 14,213.40 = 6,699.14 : x
  2. Step 2: Convert to fraction form
    9,485.98/14,213.40 = 6,699.14/x
  3. Step 3: Cross multiply
    9,485.98x = 14,213.40 × 6,699.14
  4. Step 4: Simplify right side
    9,485.98x = 95,217,556.48
  5. Step 5: Solve for x
    x = 95,217,556.48/9,485.98
  6. Step 6: Final answer
    x = 10,037.71

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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.