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Finding the Fourth Proportional to 6,328.20, 9,492.46 and 1,711.16

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Solution

The fourth proportional to 6,328.20, 9,492.46 and 1,711.16 is: 2,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.20 : 9,492.46 = 1,711.16 : x
  2. Step 2: Convert to fraction form
    6,328.20/9,492.46 = 1,711.16/x
  3. Step 3: Cross multiply
    6,328.20x = 9,492.46 × 1,711.16
  4. Step 4: Simplify right side
    6,328.20x = 16,243,117.85
  5. Step 5: Solve for x
    x = 16,243,117.85/6,328.20
  6. Step 6: Final answer
    x = 2,566.78

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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.