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Finding the Fourth Proportional to 6,814.01, 9,396.42 and 6,417.15

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Solution

The fourth proportional to 6,814.01, 9,396.42 and 6,417.15 is: 8,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.01 : 9,396.42 = 6,417.15 : x
  2. Step 2: Convert to fraction form
    6,814.01/9,396.42 = 6,417.15/x
  3. Step 3: Cross multiply
    6,814.01x = 9,396.42 × 6,417.15
  4. Step 4: Simplify right side
    6,814.01x = 60,298,236.60
  5. Step 5: Solve for x
    x = 60,298,236.60/6,814.01
  6. Step 6: Final answer
    x = 8,849.16

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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.