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Finding the Fourth Proportional to 9,605.44, 13,258.65 and 6,424.23

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Solution

The fourth proportional to 9,605.44, 13,258.65 and 6,424.23 is: 8,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.44 : 13,258.65 = 6,424.23 : x
  2. Step 2: Convert to fraction form
    9,605.44/13,258.65 = 6,424.23/x
  3. Step 3: Cross multiply
    9,605.44x = 13,258.65 × 6,424.23
  4. Step 4: Simplify right side
    9,605.44x = 85,176,617.09
  5. Step 5: Solve for x
    x = 85,176,617.09/9,605.44
  6. Step 6: Final answer
    x = 8,867.54

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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.