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Finding the Fourth Proportional to 9,792.28, 14,680.14 and 4,855.24

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Solution

The fourth proportional to 9,792.28, 14,680.14 and 4,855.24 is: 7,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.28 : 14,680.14 = 4,855.24 : x
  2. Step 2: Convert to fraction form
    9,792.28/14,680.14 = 4,855.24/x
  3. Step 3: Cross multiply
    9,792.28x = 14,680.14 × 4,855.24
  4. Step 4: Simplify right side
    9,792.28x = 71,275,602.93
  5. Step 5: Solve for x
    x = 71,275,602.93/9,792.28
  6. Step 6: Final answer
    x = 7,278.75

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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.