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Finding the Fourth Proportional to 9,431.50, 13,015.82 and 5,655.28

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Solution

The fourth proportional to 9,431.50, 13,015.82 and 5,655.28 is: 7,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.50 : 13,015.82 = 5,655.28 : x
  2. Step 2: Convert to fraction form
    9,431.50/13,015.82 = 5,655.28/x
  3. Step 3: Cross multiply
    9,431.50x = 13,015.82 × 5,655.28
  4. Step 4: Simplify right side
    9,431.50x = 73,608,013.17
  5. Step 5: Solve for x
    x = 73,608,013.17/9,431.50
  6. Step 6: Final answer
    x = 7,804.49

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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.