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Finding the Fourth Proportional to 6,213.48, 9,316.98 and 2,314.68

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Solution

The fourth proportional to 6,213.48, 9,316.98 and 2,314.68 is: 3,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.48 : 9,316.98 = 2,314.68 : x
  2. Step 2: Convert to fraction form
    6,213.48/9,316.98 = 2,314.68/x
  3. Step 3: Cross multiply
    6,213.48x = 9,316.98 × 2,314.68
  4. Step 4: Simplify right side
    6,213.48x = 21,565,827.27
  5. Step 5: Solve for x
    x = 21,565,827.27/6,213.48
  6. Step 6: Final answer
    x = 3,470.81

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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.