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Finding the Fourth Proportional to 6,696.76, 9,233.70 and 5,433.87

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Solution

The fourth proportional to 6,696.76, 9,233.70 and 5,433.87 is: 7,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.76 : 9,233.70 = 5,433.87 : x
  2. Step 2: Convert to fraction form
    6,696.76/9,233.70 = 5,433.87/x
  3. Step 3: Cross multiply
    6,696.76x = 9,233.70 × 5,433.87
  4. Step 4: Simplify right side
    6,696.76x = 50,174,725.42
  5. Step 5: Solve for x
    x = 50,174,725.42/6,696.76
  6. Step 6: Final answer
    x = 7,492.39

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Why These Related Problems?

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