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Finding the Fourth Proportional to 9,781.14, 14,678.97 and 5,402.34

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Solution

The fourth proportional to 9,781.14, 14,678.97 and 5,402.34 is: 8,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.14 : 14,678.97 = 5,402.34 : x
  2. Step 2: Convert to fraction form
    9,781.14/14,678.97 = 5,402.34/x
  3. Step 3: Cross multiply
    9,781.14x = 14,678.97 × 5,402.34
  4. Step 4: Simplify right side
    9,781.14x = 79,300,786.79
  5. Step 5: Solve for x
    x = 79,300,786.79/9,781.14
  6. Step 6: Final answer
    x = 8,107.52

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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.