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Finding the Fourth Proportional to 9,649.83, 14,476.77 and 3,410.01

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Solution

The fourth proportional to 9,649.83, 14,476.77 and 3,410.01 is: 5,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.83 : 14,476.77 = 3,410.01 : x
  2. Step 2: Convert to fraction form
    9,649.83/14,476.77 = 3,410.01/x
  3. Step 3: Cross multiply
    9,649.83x = 14,476.77 × 3,410.01
  4. Step 4: Simplify right side
    9,649.83x = 49,365,930.47
  5. Step 5: Solve for x
    x = 49,365,930.47/9,649.83
  6. Step 6: Final answer
    x = 5,115.73

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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.