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Finding the Fourth Proportional to 9,496.80, 14,246.10 and 4,231.17

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Solution

The fourth proportional to 9,496.80, 14,246.10 and 4,231.17 is: 6,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.80 : 14,246.10 = 4,231.17 : x
  2. Step 2: Convert to fraction form
    9,496.80/14,246.10 = 4,231.17/x
  3. Step 3: Cross multiply
    9,496.80x = 14,246.10 × 4,231.17
  4. Step 4: Simplify right side
    9,496.80x = 60,277,670.94
  5. Step 5: Solve for x
    x = 60,277,670.94/9,496.80
  6. Step 6: Final answer
    x = 6,347.16

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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.