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Finding the Fourth Proportional to 9,402.47, 14,100.46 and 3,854.24

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Solution

The fourth proportional to 9,402.47, 14,100.46 and 3,854.24 is: 5,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.47 : 14,100.46 = 3,854.24 : x
  2. Step 2: Convert to fraction form
    9,402.47/14,100.46 = 3,854.24/x
  3. Step 3: Cross multiply
    9,402.47x = 14,100.46 × 3,854.24
  4. Step 4: Simplify right side
    9,402.47x = 54,346,556.95
  5. Step 5: Solve for x
    x = 54,346,556.95/9,402.47
  6. Step 6: Final answer
    x = 5,780.03

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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.