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Finding the Fourth Proportional to 9,564.66, 14,369.54 and 5,626

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Solution

The fourth proportional to 9,564.66, 14,369.54 and 5,626 is: 8,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.66 : 14,369.54 = 5,626 : x
  2. Step 2: Convert to fraction form
    9,564.66/14,369.54 = 5,626/x
  3. Step 3: Cross multiply
    9,564.66x = 14,369.54 × 5,626
  4. Step 4: Simplify right side
    9,564.66x = 80,843,032.04
  5. Step 5: Solve for x
    x = 80,843,032.04/9,564.66
  6. Step 6: Final answer
    x = 8,452.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.