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Finding the Fourth Proportional to 9,402.29, 14,105.22 and 3,780.39

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Solution

The fourth proportional to 9,402.29, 14,105.22 and 3,780.39 is: 5,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.29 : 14,105.22 = 3,780.39 : x
  2. Step 2: Convert to fraction form
    9,402.29/14,105.22 = 3,780.39/x
  3. Step 3: Cross multiply
    9,402.29x = 14,105.22 × 3,780.39
  4. Step 4: Simplify right side
    9,402.29x = 53,323,271.35
  5. Step 5: Solve for x
    x = 53,323,271.35/9,402.29
  6. Step 6: Final answer
    x = 5,671.31

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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.