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Finding the Fourth Proportional to 9,288, 12,817.44 and 5,564.16

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Solution

The fourth proportional to 9,288, 12,817.44 and 5,564.16 is: 7,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 12,817.44 = 5,564.16 : x
  2. Step 2: Convert to fraction form
    9,288/12,817.44 = 5,564.16/x
  3. Step 3: Cross multiply
    9,288x = 12,817.44 × 5,564.16
  4. Step 4: Simplify right side
    9,288x = 71,318,286.95
  5. Step 5: Solve for x
    x = 71,318,286.95/9,288
  6. Step 6: Final answer
    x = 7,678.54

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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.