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Finding the Fourth Proportional to 6,887.02, 9,503.82 and 3,743.14

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Solution

The fourth proportional to 6,887.02, 9,503.82 and 3,743.14 is: 5,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.02 : 9,503.82 = 3,743.14 : x
  2. Step 2: Convert to fraction form
    6,887.02/9,503.82 = 3,743.14/x
  3. Step 3: Cross multiply
    6,887.02x = 9,503.82 × 3,743.14
  4. Step 4: Simplify right side
    6,887.02x = 35,574,128.79
  5. Step 5: Solve for x
    x = 35,574,128.79/6,887.02
  6. Step 6: Final answer
    x = 5,165.39

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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.