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Finding the Fourth Proportional to 9,480.89, 14,221.40 and 6,214.66

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Solution

The fourth proportional to 9,480.89, 14,221.40 and 6,214.66 is: 9,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.89 : 14,221.40 = 6,214.66 : x
  2. Step 2: Convert to fraction form
    9,480.89/14,221.40 = 6,214.66/x
  3. Step 3: Cross multiply
    9,480.89x = 14,221.40 × 6,214.66
  4. Step 4: Simplify right side
    9,480.89x = 88,381,165.72
  5. Step 5: Solve for x
    x = 88,381,165.72/9,480.89
  6. Step 6: Final answer
    x = 9,322.03

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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.