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Finding the Fourth Proportional to 9,469.58, 14,204.36 and 2,897.78

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Solution

The fourth proportional to 9,469.58, 14,204.36 and 2,897.78 is: 4,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.58 : 14,204.36 = 2,897.78 : x
  2. Step 2: Convert to fraction form
    9,469.58/14,204.36 = 2,897.78/x
  3. Step 3: Cross multiply
    9,469.58x = 14,204.36 × 2,897.78
  4. Step 4: Simplify right side
    9,469.58x = 41,161,046.54
  5. Step 5: Solve for x
    x = 41,161,046.54/9,469.58
  6. Step 6: Final answer
    x = 4,346.66

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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.