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Finding the Fourth Proportional to 6,318.16, 9,457.40 and 5,212.24

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Solution

The fourth proportional to 6,318.16, 9,457.40 and 5,212.24 is: 7,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.16 : 9,457.40 = 5,212.24 : x
  2. Step 2: Convert to fraction form
    6,318.16/9,457.40 = 5,212.24/x
  3. Step 3: Cross multiply
    6,318.16x = 9,457.40 × 5,212.24
  4. Step 4: Simplify right side
    6,318.16x = 49,294,238.58
  5. Step 5: Solve for x
    x = 49,294,238.58/6,318.16
  6. Step 6: Final answer
    x = 7,801.99

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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.