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Finding the Fourth Proportional to 6,233.42, 9,351.75 and 5,124.67

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Solution

The fourth proportional to 6,233.42, 9,351.75 and 5,124.67 is: 7,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.42 : 9,351.75 = 5,124.67 : x
  2. Step 2: Convert to fraction form
    6,233.42/9,351.75 = 5,124.67/x
  3. Step 3: Cross multiply
    6,233.42x = 9,351.75 × 5,124.67
  4. Step 4: Simplify right side
    6,233.42x = 47,924,628.51
  5. Step 5: Solve for x
    x = 47,924,628.51/6,233.42
  6. Step 6: Final answer
    x = 7,688.33

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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.