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Finding the Fourth Proportional to 9,654.84, 13,324.68 and 5,464.44

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Solution

The fourth proportional to 9,654.84, 13,324.68 and 5,464.44 is: 7,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.84 : 13,324.68 = 5,464.44 : x
  2. Step 2: Convert to fraction form
    9,654.84/13,324.68 = 5,464.44/x
  3. Step 3: Cross multiply
    9,654.84x = 13,324.68 × 5,464.44
  4. Step 4: Simplify right side
    9,654.84x = 72,811,914.38
  5. Step 5: Solve for x
    x = 72,811,914.38/9,654.84
  6. Step 6: Final answer
    x = 7,541.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.