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Finding the Fourth Proportional to 9,812.82, 13,541.38 and 5,564.26

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Solution

The fourth proportional to 9,812.82, 13,541.38 and 5,564.26 is: 7,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.82 : 13,541.38 = 5,564.26 : x
  2. Step 2: Convert to fraction form
    9,812.82/13,541.38 = 5,564.26/x
  3. Step 3: Cross multiply
    9,812.82x = 13,541.38 × 5,564.26
  4. Step 4: Simplify right side
    9,812.82x = 75,347,759.08
  5. Step 5: Solve for x
    x = 75,347,759.08/9,812.82
  6. Step 6: Final answer
    x = 7,678.51

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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.