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Finding the Fourth Proportional to 9,502.28, 14,252.08 and 3,262.19

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Solution

The fourth proportional to 9,502.28, 14,252.08 and 3,262.19 is: 4,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.28 : 14,252.08 = 3,262.19 : x
  2. Step 2: Convert to fraction form
    9,502.28/14,252.08 = 3,262.19/x
  3. Step 3: Cross multiply
    9,502.28x = 14,252.08 × 3,262.19
  4. Step 4: Simplify right side
    9,502.28x = 46,492,992.86
  5. Step 5: Solve for x
    x = 46,492,992.86/9,502.28
  6. Step 6: Final answer
    x = 4,892.82

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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.