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Finding the Fourth Proportional to 6,812.10, 9,404.10 and 4,457.84

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Solution

The fourth proportional to 6,812.10, 9,404.10 and 4,457.84 is: 6,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.10 : 9,404.10 = 4,457.84 : x
  2. Step 2: Convert to fraction form
    6,812.10/9,404.10 = 4,457.84/x
  3. Step 3: Cross multiply
    6,812.10x = 9,404.10 × 4,457.84
  4. Step 4: Simplify right side
    6,812.10x = 41,921,926.12
  5. Step 5: Solve for x
    x = 41,921,926.12/6,812.10
  6. Step 6: Final answer
    x = 6,154.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.