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Finding the Fourth Proportional to 9,480.28, 14,222.04 and 4,217.16

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Solution

The fourth proportional to 9,480.28, 14,222.04 and 4,217.16 is: 6,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.28 : 14,222.04 = 4,217.16 : x
  2. Step 2: Convert to fraction form
    9,480.28/14,222.04 = 4,217.16/x
  3. Step 3: Cross multiply
    9,480.28x = 14,222.04 × 4,217.16
  4. Step 4: Simplify right side
    9,480.28x = 59,976,618.21
  5. Step 5: Solve for x
    x = 59,976,618.21/9,480.28
  6. Step 6: Final answer
    x = 6,326.46

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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.