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Finding the Fourth Proportional to 9,448.96, 13,039.60 and 5,257.28

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Solution

The fourth proportional to 9,448.96, 13,039.60 and 5,257.28 is: 7,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.96 : 13,039.60 = 5,257.28 : x
  2. Step 2: Convert to fraction form
    9,448.96/13,039.60 = 5,257.28/x
  3. Step 3: Cross multiply
    9,448.96x = 13,039.60 × 5,257.28
  4. Step 4: Simplify right side
    9,448.96x = 68,552,828.29
  5. Step 5: Solve for x
    x = 68,552,828.29/9,448.96
  6. Step 6: Final answer
    x = 7,255.07

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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.