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Finding the Fourth Proportional to 6,230.78, 9,300.55 and 5,492.69

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Solution

The fourth proportional to 6,230.78, 9,300.55 and 5,492.69 is: 8,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.78 : 9,300.55 = 5,492.69 : x
  2. Step 2: Convert to fraction form
    6,230.78/9,300.55 = 5,492.69/x
  3. Step 3: Cross multiply
    6,230.78x = 9,300.55 × 5,492.69
  4. Step 4: Simplify right side
    6,230.78x = 51,085,037.98
  5. Step 5: Solve for x
    x = 51,085,037.98/6,230.78
  6. Step 6: Final answer
    x = 8,198.82

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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.