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Finding the Fourth Proportional to 6,307.13, 9,443.39 and 5,134.39

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Solution

The fourth proportional to 6,307.13, 9,443.39 and 5,134.39 is: 7,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.13 : 9,443.39 = 5,134.39 : x
  2. Step 2: Convert to fraction form
    6,307.13/9,443.39 = 5,134.39/x
  3. Step 3: Cross multiply
    6,307.13x = 9,443.39 × 5,134.39
  4. Step 4: Simplify right side
    6,307.13x = 48,485,997.90
  5. Step 5: Solve for x
    x = 48,485,997.90/6,307.13
  6. Step 6: Final answer
    x = 7,687.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.