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Finding the Fourth Proportional to 6,242.96, 9,356.19 and 3,468.17

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Solution

The fourth proportional to 6,242.96, 9,356.19 and 3,468.17 is: 5,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.96 : 9,356.19 = 3,468.17 : x
  2. Step 2: Convert to fraction form
    6,242.96/9,356.19 = 3,468.17/x
  3. Step 3: Cross multiply
    6,242.96x = 9,356.19 × 3,468.17
  4. Step 4: Simplify right side
    6,242.96x = 32,448,810.69
  5. Step 5: Solve for x
    x = 32,448,810.69/6,242.96
  6. Step 6: Final answer
    x = 5,197.67

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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.