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Finding the Fourth Proportional to 9,492.20, 14,246.96 and 4,815.42

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Solution

The fourth proportional to 9,492.20, 14,246.96 and 4,815.42 is: 7,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.20 : 14,246.96 = 4,815.42 : x
  2. Step 2: Convert to fraction form
    9,492.20/14,246.96 = 4,815.42/x
  3. Step 3: Cross multiply
    9,492.20x = 14,246.96 × 4,815.42
  4. Step 4: Simplify right side
    9,492.20x = 68,605,072.05
  5. Step 5: Solve for x
    x = 68,605,072.05/9,492.20
  6. Step 6: Final answer
    x = 7,227.52

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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.