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Finding the Fourth Proportional to 6,176.45, 9,256.14 and 5,352.68

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Solution

The fourth proportional to 6,176.45, 9,256.14 and 5,352.68 is: 8,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.45 : 9,256.14 = 5,352.68 : x
  2. Step 2: Convert to fraction form
    6,176.45/9,256.14 = 5,352.68/x
  3. Step 3: Cross multiply
    6,176.45x = 9,256.14 × 5,352.68
  4. Step 4: Simplify right side
    6,176.45x = 49,545,178.60
  5. Step 5: Solve for x
    x = 49,545,178.60/6,176.45
  6. Step 6: Final answer
    x = 8,021.62

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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.