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Finding the Fourth Proportional to 9,486.38, 14,232.82 and 3,564.12

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Solution

The fourth proportional to 9,486.38, 14,232.82 and 3,564.12 is: 5,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.38 : 14,232.82 = 3,564.12 : x
  2. Step 2: Convert to fraction form
    9,486.38/14,232.82 = 3,564.12/x
  3. Step 3: Cross multiply
    9,486.38x = 14,232.82 × 3,564.12
  4. Step 4: Simplify right side
    9,486.38x = 50,727,478.42
  5. Step 5: Solve for x
    x = 50,727,478.42/9,486.38
  6. Step 6: Final answer
    x = 5,347.40

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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.