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Finding the Fourth Proportional to 6,328.38, 9,492.57 and 1,711.38

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Solution

The fourth proportional to 6,328.38, 9,492.57 and 1,711.38 is: 2,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.38 : 9,492.57 = 1,711.38 : x
  2. Step 2: Convert to fraction form
    6,328.38/9,492.57 = 1,711.38/x
  3. Step 3: Cross multiply
    6,328.38x = 9,492.57 × 1,711.38
  4. Step 4: Simplify right side
    6,328.38x = 16,245,394.45
  5. Step 5: Solve for x
    x = 16,245,394.45/6,328.38
  6. Step 6: Final answer
    x = 2,567.07

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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.