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Finding the Fourth Proportional to 6,217.40, 9,314.36 and 4,814.22

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Solution

The fourth proportional to 6,217.40, 9,314.36 and 4,814.22 is: 7,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.40 : 9,314.36 = 4,814.22 : x
  2. Step 2: Convert to fraction form
    6,217.40/9,314.36 = 4,814.22/x
  3. Step 3: Cross multiply
    6,217.40x = 9,314.36 × 4,814.22
  4. Step 4: Simplify right side
    6,217.40x = 44,841,407.11
  5. Step 5: Solve for x
    x = 44,841,407.11/6,217.40
  6. Step 6: Final answer
    x = 7,212.25

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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.