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Finding the Fourth Proportional to 9,662.28, 14,492.44 and 2,642.92

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Solution

The fourth proportional to 9,662.28, 14,492.44 and 2,642.92 is: 3,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.28 : 14,492.44 = 2,642.92 : x
  2. Step 2: Convert to fraction form
    9,662.28/14,492.44 = 2,642.92/x
  3. Step 3: Cross multiply
    9,662.28x = 14,492.44 × 2,642.92
  4. Step 4: Simplify right side
    9,662.28x = 38,302,359.52
  5. Step 5: Solve for x
    x = 38,302,359.52/9,662.28
  6. Step 6: Final answer
    x = 3,964.11

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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.