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Finding the Fourth Proportional to 9,338.16, 13,997.52 and 3,492.24

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Solution

The fourth proportional to 9,338.16, 13,997.52 and 3,492.24 is: 5,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.16 : 13,997.52 = 3,492.24 : x
  2. Step 2: Convert to fraction form
    9,338.16/13,997.52 = 3,492.24/x
  3. Step 3: Cross multiply
    9,338.16x = 13,997.52 × 3,492.24
  4. Step 4: Simplify right side
    9,338.16x = 48,882,699.24
  5. Step 5: Solve for x
    x = 48,882,699.24/9,338.16
  6. Step 6: Final answer
    x = 5,234.72

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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.