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Finding the Fourth Proportional to 9,412.10, 14,108.97 and 4,480.41

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Solution

The fourth proportional to 9,412.10, 14,108.97 and 4,480.41 is: 6,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.10 : 14,108.97 = 4,480.41 : x
  2. Step 2: Convert to fraction form
    9,412.10/14,108.97 = 4,480.41/x
  3. Step 3: Cross multiply
    9,412.10x = 14,108.97 × 4,480.41
  4. Step 4: Simplify right side
    9,412.10x = 63,214,014.79
  5. Step 5: Solve for x
    x = 63,214,014.79/9,412.10
  6. Step 6: Final answer
    x = 6,716.25

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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.