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Finding the Fourth Proportional to 9,939.96, 13,716.45 and 5,464.01

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Solution

The fourth proportional to 9,939.96, 13,716.45 and 5,464.01 is: 7,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.96 : 13,716.45 = 5,464.01 : x
  2. Step 2: Convert to fraction form
    9,939.96/13,716.45 = 5,464.01/x
  3. Step 3: Cross multiply
    9,939.96x = 13,716.45 × 5,464.01
  4. Step 4: Simplify right side
    9,939.96x = 74,946,751.38
  5. Step 5: Solve for x
    x = 74,946,751.38/9,939.96
  6. Step 6: Final answer
    x = 7,539.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.