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Finding the Fourth Proportional to 9,673.44, 13,349.39 and 5,424.59

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Solution

The fourth proportional to 9,673.44, 13,349.39 and 5,424.59 is: 7,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.44 : 13,349.39 = 5,424.59 : x
  2. Step 2: Convert to fraction form
    9,673.44/13,349.39 = 5,424.59/x
  3. Step 3: Cross multiply
    9,673.44x = 13,349.39 × 5,424.59
  4. Step 4: Simplify right side
    9,673.44x = 72,414,873.63
  5. Step 5: Solve for x
    x = 72,414,873.63/9,673.44
  6. Step 6: Final answer
    x = 7,485.95

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