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Finding the Fourth Proportional to 6,967.83, 10,489.76 and 6,355.47

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Solution

The fourth proportional to 6,967.83, 10,489.76 and 6,355.47 is: 9,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.83 : 10,489.76 = 6,355.47 : x
  2. Step 2: Convert to fraction form
    6,967.83/10,489.76 = 6,355.47/x
  3. Step 3: Cross multiply
    6,967.83x = 10,489.76 × 6,355.47
  4. Step 4: Simplify right side
    6,967.83x = 66,667,354.99
  5. Step 5: Solve for x
    x = 66,667,354.99/6,967.83
  6. Step 6: Final answer
    x = 9,567.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.