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Finding the Fourth Proportional to 6,212.96, 9,315.12 and 2,316.32

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Solution

The fourth proportional to 6,212.96, 9,315.12 and 2,316.32 is: 3,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.96 : 9,315.12 = 2,316.32 : x
  2. Step 2: Convert to fraction form
    6,212.96/9,315.12 = 2,316.32/x
  3. Step 3: Cross multiply
    6,212.96x = 9,315.12 × 2,316.32
  4. Step 4: Simplify right side
    6,212.96x = 21,576,798.76
  5. Step 5: Solve for x
    x = 21,576,798.76/6,212.96
  6. Step 6: Final answer
    x = 3,472.87

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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.