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Finding the Fourth Proportional to 9,480.39, 14,220.66 and 6,214.16

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Solution

The fourth proportional to 9,480.39, 14,220.66 and 6,214.16 is: 9,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.39 : 14,220.66 = 6,214.16 : x
  2. Step 2: Convert to fraction form
    9,480.39/14,220.66 = 6,214.16/x
  3. Step 3: Cross multiply
    9,480.39x = 14,220.66 × 6,214.16
  4. Step 4: Simplify right side
    9,480.39x = 88,369,425.47
  5. Step 5: Solve for x
    x = 88,369,425.47/9,480.39
  6. Step 6: Final answer
    x = 9,321.29

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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.