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Finding the Fourth Proportional to 6,492.91, 9,740.58 and 2,111.62

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Solution

The fourth proportional to 6,492.91, 9,740.58 and 2,111.62 is: 3,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.91 : 9,740.58 = 2,111.62 : x
  2. Step 2: Convert to fraction form
    6,492.91/9,740.58 = 2,111.62/x
  3. Step 3: Cross multiply
    6,492.91x = 9,740.58 × 2,111.62
  4. Step 4: Simplify right side
    6,492.91x = 20,568,344.28
  5. Step 5: Solve for x
    x = 20,568,344.28/6,492.91
  6. Step 6: Final answer
    x = 3,167.82

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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.