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Finding the Fourth Proportional to 9,930.67, 13,705.91 and 5,741.35

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Solution

The fourth proportional to 9,930.67, 13,705.91 and 5,741.35 is: 7,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.67 : 13,705.91 = 5,741.35 : x
  2. Step 2: Convert to fraction form
    9,930.67/13,705.91 = 5,741.35/x
  3. Step 3: Cross multiply
    9,930.67x = 13,705.91 × 5,741.35
  4. Step 4: Simplify right side
    9,930.67x = 78,690,426.38
  5. Step 5: Solve for x
    x = 78,690,426.38/9,930.67
  6. Step 6: Final answer
    x = 7,923.98

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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.