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Finding the Fourth Proportional to 6,230.16, 9,299.65 and 5,492.04

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Solution

The fourth proportional to 6,230.16, 9,299.65 and 5,492.04 is: 8,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.16 : 9,299.65 = 5,492.04 : x
  2. Step 2: Convert to fraction form
    6,230.16/9,299.65 = 5,492.04/x
  3. Step 3: Cross multiply
    6,230.16x = 9,299.65 × 5,492.04
  4. Step 4: Simplify right side
    6,230.16x = 51,074,003.29
  5. Step 5: Solve for x
    x = 51,074,003.29/6,230.16
  6. Step 6: Final answer
    x = 8,197.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.