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Finding the Fourth Proportional to 9,329.28, 12,865.95 and 6,180

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Solution

The fourth proportional to 9,329.28, 12,865.95 and 6,180 is: 8,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.28 : 12,865.95 = 6,180 : x
  2. Step 2: Convert to fraction form
    9,329.28/12,865.95 = 6,180/x
  3. Step 3: Cross multiply
    9,329.28x = 12,865.95 × 6,180
  4. Step 4: Simplify right side
    9,329.28x = 79,511,571
  5. Step 5: Solve for x
    x = 79,511,571/9,329.28
  6. Step 6: Final answer
    x = 8,522.80

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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.