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Finding the Fourth Proportional to 9,902.52, 13,667.94 and 6,714.36

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Solution

The fourth proportional to 9,902.52, 13,667.94 and 6,714.36 is: 9,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.52 : 13,667.94 = 6,714.36 : x
  2. Step 2: Convert to fraction form
    9,902.52/13,667.94 = 6,714.36/x
  3. Step 3: Cross multiply
    9,902.52x = 13,667.94 × 6,714.36
  4. Step 4: Simplify right side
    9,902.52x = 91,771,469.62
  5. Step 5: Solve for x
    x = 91,771,469.62/9,902.52
  6. Step 6: Final answer
    x = 9,267.49

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