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Finding the Fourth Proportional to 9,478.80, 13,083.16 and 5,654.56

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Solution

The fourth proportional to 9,478.80, 13,083.16 and 5,654.56 is: 7,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.80 : 13,083.16 = 5,654.56 : x
  2. Step 2: Convert to fraction form
    9,478.80/13,083.16 = 5,654.56/x
  3. Step 3: Cross multiply
    9,478.80x = 13,083.16 × 5,654.56
  4. Step 4: Simplify right side
    9,478.80x = 73,979,513.21
  5. Step 5: Solve for x
    x = 73,979,513.21/9,478.80
  6. Step 6: Final answer
    x = 7,804.73

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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.