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Finding the Fourth Proportional to 6,769.28, 9,332.48 and 5,176.82

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Solution

The fourth proportional to 6,769.28, 9,332.48 and 5,176.82 is: 7,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.28 : 9,332.48 = 5,176.82 : x
  2. Step 2: Convert to fraction form
    6,769.28/9,332.48 = 5,176.82/x
  3. Step 3: Cross multiply
    6,769.28x = 9,332.48 × 5,176.82
  4. Step 4: Simplify right side
    6,769.28x = 48,312,569.11
  5. Step 5: Solve for x
    x = 48,312,569.11/6,769.28
  6. Step 6: Final answer
    x = 7,137.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.