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Finding the Fourth Proportional to 9,492.38, 14,238.62 and 3,650.36

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Solution

The fourth proportional to 9,492.38, 14,238.62 and 3,650.36 is: 5,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.38 : 14,238.62 = 3,650.36 : x
  2. Step 2: Convert to fraction form
    9,492.38/14,238.62 = 3,650.36/x
  3. Step 3: Cross multiply
    9,492.38x = 14,238.62 × 3,650.36
  4. Step 4: Simplify right side
    9,492.38x = 51,975,999.46
  5. Step 5: Solve for x
    x = 51,975,999.46/9,492.38
  6. Step 6: Final answer
    x = 5,475.55

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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.