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Finding the Fourth Proportional to 8,209, 11,328.33 and 4,672.21

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Solution

The fourth proportional to 8,209, 11,328.33 and 4,672.21 is: 6,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209 : 11,328.33 = 4,672.21 : x
  2. Step 2: Convert to fraction form
    8,209/11,328.33 = 4,672.21/x
  3. Step 3: Cross multiply
    8,209x = 11,328.33 × 4,672.21
  4. Step 4: Simplify right side
    8,209x = 52,928,336.71
  5. Step 5: Solve for x
    x = 52,928,336.71/8,209
  6. Step 6: Final answer
    x = 6,447.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.