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Finding the Fourth Proportional to 9,428.44, 13,009.80 and 5,448.78

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Solution

The fourth proportional to 9,428.44, 13,009.80 and 5,448.78 is: 7,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.44 : 13,009.80 = 5,448.78 : x
  2. Step 2: Convert to fraction form
    9,428.44/13,009.80 = 5,448.78/x
  3. Step 3: Cross multiply
    9,428.44x = 13,009.80 × 5,448.78
  4. Step 4: Simplify right side
    9,428.44x = 70,887,517.61
  5. Step 5: Solve for x
    x = 70,887,517.61/9,428.44
  6. Step 6: Final answer
    x = 7,518.48

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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.