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Finding the Fourth Proportional to 6,448.59, 9,667.29 and 6,262.68

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Solution

The fourth proportional to 6,448.59, 9,667.29 and 6,262.68 is: 9,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.59 : 9,667.29 = 6,262.68 : x
  2. Step 2: Convert to fraction form
    6,448.59/9,667.29 = 6,262.68/x
  3. Step 3: Cross multiply
    6,448.59x = 9,667.29 × 6,262.68
  4. Step 4: Simplify right side
    6,448.59x = 60,543,143.74
  5. Step 5: Solve for x
    x = 60,543,143.74/6,448.59
  6. Step 6: Final answer
    x = 9,388.59

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